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Finding the Third Proportional to 55,730 and 83,691

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Solution

The third proportional to 55,730 and 83,691 is: 125,680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,730 : 83,691 = 83,691 : x
  2. Step 2: Convert to fraction form
    55,730/83,691 = 83,691/x
  3. Step 3: Cross multiply
    55,730x = 83,691 × 83,691
  4. Step 4: Simplify right side
    55,730x = 7,004,183,481
  5. Step 5: Solve for x
    x = 7,004,183,481/55,730
  6. Step 6: Final answer
    x = 125,680.67

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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.