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Finding the Third Proportional to 70,984 and 156,737

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Solution

The third proportional to 70,984 and 156,737 is: 346,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,984 : 156,737 = 156,737 : x
  2. Step 2: Convert to fraction form
    70,984/156,737 = 156,737/x
  3. Step 3: Cross multiply
    70,984x = 156,737 × 156,737
  4. Step 4: Simplify right side
    70,984x = 24,566,487,169
  5. Step 5: Solve for x
    x = 24,566,487,169/70,984
  6. Step 6: Final answer
    x = 346,084.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.