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Finding the Third Proportional to 92,439 and 142,735

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Solution

The third proportional to 92,439 and 142,735 is: 220,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,439 : 142,735 = 142,735 : x
  2. Step 2: Convert to fraction form
    92,439/142,735 = 142,735/x
  3. Step 3: Cross multiply
    92,439x = 142,735 × 142,735
  4. Step 4: Simplify right side
    92,439x = 20,373,280,225
  5. Step 5: Solve for x
    x = 20,373,280,225/92,439
  6. Step 6: Final answer
    x = 220,397.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.