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Finding the Third Proportional to 63,772 and 93,709

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Solution

The third proportional to 63,772 and 93,709 is: 137,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,772 : 93,709 = 93,709 : x
  2. Step 2: Convert to fraction form
    63,772/93,709 = 93,709/x
  3. Step 3: Cross multiply
    63,772x = 93,709 × 93,709
  4. Step 4: Simplify right side
    63,772x = 8,781,376,681
  5. Step 5: Solve for x
    x = 8,781,376,681/63,772
  6. Step 6: Final answer
    x = 137,699.57

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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.