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Finding the Third Proportional to 61,342 and 92,322

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Solution

The third proportional to 61,342 and 92,322 is: 138,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,342 : 92,322 = 92,322 : x
  2. Step 2: Convert to fraction form
    61,342/92,322 = 92,322/x
  3. Step 3: Cross multiply
    61,342x = 92,322 × 92,322
  4. Step 4: Simplify right side
    61,342x = 8,523,351,684
  5. Step 5: Solve for x
    x = 8,523,351,684/61,342
  6. Step 6: Final answer
    x = 138,948.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.