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Finding the Third Proportional to 92,202 and 142,397

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Solution

The third proportional to 92,202 and 142,397 is: 219,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,202 : 142,397 = 142,397 : x
  2. Step 2: Convert to fraction form
    92,202/142,397 = 142,397/x
  3. Step 3: Cross multiply
    92,202x = 142,397 × 142,397
  4. Step 4: Simplify right side
    92,202x = 20,276,905,609
  5. Step 5: Solve for x
    x = 20,276,905,609/92,202
  6. Step 6: Final answer
    x = 219,918.28

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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.