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Finding the Third Proportional to 92,445 and 142,743

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Solution

The third proportional to 92,445 and 142,743 is: 220,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,445 : 142,743 = 142,743 : x
  2. Step 2: Convert to fraction form
    92,445/142,743 = 142,743/x
  3. Step 3: Cross multiply
    92,445x = 142,743 × 142,743
  4. Step 4: Simplify right side
    92,445x = 20,375,564,049
  5. Step 5: Solve for x
    x = 20,375,564,049/92,445
  6. Step 6: Final answer
    x = 220,407.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.