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Finding the Third Proportional to 104,641 and 156,552

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Solution

The third proportional to 104,641 and 156,552 is: 234,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,641 : 156,552 = 156,552 : x
  2. Step 2: Convert to fraction form
    104,641/156,552 = 156,552/x
  3. Step 3: Cross multiply
    104,641x = 156,552 × 156,552
  4. Step 4: Simplify right side
    104,641x = 24,508,528,704
  5. Step 5: Solve for x
    x = 24,508,528,704/104,641
  6. Step 6: Final answer
    x = 234,215.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.