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Finding the Third Proportional to 64,691.16 and 140,772.94

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Solution

The third proportional to 64,691.16 and 140,772.94 is: 306,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,691.16 : 140,772.94 = 140,772.94 : x
  2. Step 2: Convert to fraction form
    64,691.16/140,772.94 = 140,772.94/x
  3. Step 3: Cross multiply
    64,691.16x = 140,772.94 × 140,772.94
  4. Step 4: Simplify right side
    64,691.16x = 19,817,019,932.38
  5. Step 5: Solve for x
    x = 19,817,019,932.38/64,691.16
  6. Step 6: Final answer
    x = 306,332.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.