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Finding the Third Proportional to 64,206.75 and 99,807.75

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Solution

The third proportional to 64,206.75 and 99,807.75 is: 155,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206.75 : 99,807.75 = 99,807.75 : x
  2. Step 2: Convert to fraction form
    64,206.75/99,807.75 = 99,807.75/x
  3. Step 3: Cross multiply
    64,206.75x = 99,807.75 × 99,807.75
  4. Step 4: Simplify right side
    64,206.75x = 9,961,586,960.06
  5. Step 5: Solve for x
    x = 9,961,586,960.06/64,206.75
  6. Step 6: Final answer
    x = 155,148.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.