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Finding the Third Proportional to 92,441 and 142,737

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Solution

The third proportional to 92,441 and 142,737 is: 220,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,441 : 142,737 = 142,737 : x
  2. Step 2: Convert to fraction form
    92,441/142,737 = 142,737/x
  3. Step 3: Cross multiply
    92,441x = 142,737 × 142,737
  4. Step 4: Simplify right side
    92,441x = 20,373,851,169
  5. Step 5: Solve for x
    x = 20,373,851,169/92,441
  6. Step 6: Final answer
    x = 220,398.43

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Why These Related Problems?

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