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Finding the Third Proportional to 61,959 and 93,519

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Solution

The third proportional to 61,959 and 93,519 is: 141,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,959 : 93,519 = 93,519 : x
  2. Step 2: Convert to fraction form
    61,959/93,519 = 93,519/x
  3. Step 3: Cross multiply
    61,959x = 93,519 × 93,519
  4. Step 4: Simplify right side
    61,959x = 8,745,803,361
  5. Step 5: Solve for x
    x = 8,745,803,361/61,959
  6. Step 6: Final answer
    x = 141,154.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.