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Finding the Third Proportional to 83,567.32 and 125,748.23

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Solution

The third proportional to 83,567.32 and 125,748.23 is: 189,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,567.32 : 125,748.23 = 125,748.23 : x
  2. Step 2: Convert to fraction form
    83,567.32/125,748.23 = 125,748.23/x
  3. Step 3: Cross multiply
    83,567.32x = 125,748.23 × 125,748.23
  4. Step 4: Simplify right side
    83,567.32x = 15,812,616,974.82
  5. Step 5: Solve for x
    x = 15,812,616,974.82/83,567.32
  6. Step 6: Final answer
    x = 189,220.10

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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.