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Finding the Third Proportional to 63,804 and 93,729

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Solution

The third proportional to 63,804 and 93,729 is: 137,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,804 : 93,729 = 93,729 : x
  2. Step 2: Convert to fraction form
    63,804/93,729 = 93,729/x
  3. Step 3: Cross multiply
    63,804x = 93,729 × 93,729
  4. Step 4: Simplify right side
    63,804x = 8,785,125,441
  5. Step 5: Solve for x
    x = 8,785,125,441/63,804
  6. Step 6: Final answer
    x = 137,689.26

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