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Finding the Third Proportional to 63,747 and 148,888.13

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Solution

The third proportional to 63,747 and 148,888.13 is: 347,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,747 : 148,888.13 = 148,888.13 : x
  2. Step 2: Convert to fraction form
    63,747/148,888.13 = 148,888.13/x
  3. Step 3: Cross multiply
    63,747x = 148,888.13 × 148,888.13
  4. Step 4: Simplify right side
    63,747x = 22,167,673,766.02
  5. Step 5: Solve for x
    x = 22,167,673,766.02/63,747
  6. Step 6: Final answer
    x = 347,744.58

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.