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Finding the Third Proportional to 63,591 and 139,665

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Solution

The third proportional to 63,591 and 139,665 is: 306,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,591 : 139,665 = 139,665 : x
  2. Step 2: Convert to fraction form
    63,591/139,665 = 139,665/x
  3. Step 3: Cross multiply
    63,591x = 139,665 × 139,665
  4. Step 4: Simplify right side
    63,591x = 19,506,312,225
  5. Step 5: Solve for x
    x = 19,506,312,225/63,591
  6. Step 6: Final answer
    x = 306,746.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.