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Finding the Third Proportional to 61,192 and 92,952

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Solution

The third proportional to 61,192 and 92,952 is: 141,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,192 : 92,952 = 92,952 : x
  2. Step 2: Convert to fraction form
    61,192/92,952 = 92,952/x
  3. Step 3: Cross multiply
    61,192x = 92,952 × 92,952
  4. Step 4: Simplify right side
    61,192x = 8,640,074,304
  5. Step 5: Solve for x
    x = 8,640,074,304/61,192
  6. Step 6: Final answer
    x = 141,196.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.