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Finding the Third Proportional to 106,158.75 and 232,007.25

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Solution

The third proportional to 106,158.75 and 232,007.25 is: 507,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,158.75 : 232,007.25 = 232,007.25 : x
  2. Step 2: Convert to fraction form
    106,158.75/232,007.25 = 232,007.25/x
  3. Step 3: Cross multiply
    106,158.75x = 232,007.25 × 232,007.25
  4. Step 4: Simplify right side
    106,158.75x = 53,827,364,052.56
  5. Step 5: Solve for x
    x = 53,827,364,052.56/106,158.75
  6. Step 6: Final answer
    x = 507,045.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.