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Finding the Third Proportional to 92,142 and 138,564

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Solution

The third proportional to 92,142 and 138,564 is: 208,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,142 : 138,564 = 138,564 : x
  2. Step 2: Convert to fraction form
    92,142/138,564 = 138,564/x
  3. Step 3: Cross multiply
    92,142x = 138,564 × 138,564
  4. Step 4: Simplify right side
    92,142x = 19,199,982,096
  5. Step 5: Solve for x
    x = 19,199,982,096/92,142
  6. Step 6: Final answer
    x = 208,373.84

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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.