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Finding the Third Proportional to 112,641 and 157,479

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Solution

The third proportional to 112,641 and 157,479 is: 220,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,641 : 157,479 = 157,479 : x
  2. Step 2: Convert to fraction form
    112,641/157,479 = 157,479/x
  3. Step 3: Cross multiply
    112,641x = 157,479 × 157,479
  4. Step 4: Simplify right side
    112,641x = 24,799,635,441
  5. Step 5: Solve for x
    x = 24,799,635,441/112,641
  6. Step 6: Final answer
    x = 220,165.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.