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Finding the Third Proportional to 89,214.75 and 131,356.69

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Solution

The third proportional to 89,214.75 and 131,356.69 is: 193,405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,214.75 : 131,356.69 = 131,356.69 : x
  2. Step 2: Convert to fraction form
    89,214.75/131,356.69 = 131,356.69/x
  3. Step 3: Cross multiply
    89,214.75x = 131,356.69 × 131,356.69
  4. Step 4: Simplify right side
    89,214.75x = 17,254,579,350.97
  5. Step 5: Solve for x
    x = 17,254,579,350.97/89,214.75
  6. Step 6: Final answer
    x = 193,405.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.