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Finding the Third Proportional to 46,959 and 71,598

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Solution

The third proportional to 46,959 and 71,598 is: 109,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,959 : 71,598 = 71,598 : x
  2. Step 2: Convert to fraction form
    46,959/71,598 = 71,598/x
  3. Step 3: Cross multiply
    46,959x = 71,598 × 71,598
  4. Step 4: Simplify right side
    46,959x = 5,126,273,604
  5. Step 5: Solve for x
    x = 5,126,273,604/46,959
  6. Step 6: Final answer
    x = 109,164.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.