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Finding the Third Proportional to 61,306 and 93,743

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Solution

The third proportional to 61,306 and 93,743 is: 143,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,306 : 93,743 = 93,743 : x
  2. Step 2: Convert to fraction form
    61,306/93,743 = 93,743/x
  3. Step 3: Cross multiply
    61,306x = 93,743 × 93,743
  4. Step 4: Simplify right side
    61,306x = 8,787,750,049
  5. Step 5: Solve for x
    x = 8,787,750,049/61,306
  6. Step 6: Final answer
    x = 143,342.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.