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Finding the Third Proportional to 92,904 and 141,540

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Solution

The third proportional to 92,904 and 141,540 is: 215,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,904 : 141,540 = 141,540 : x
  2. Step 2: Convert to fraction form
    92,904/141,540 = 141,540/x
  3. Step 3: Cross multiply
    92,904x = 141,540 × 141,540
  4. Step 4: Simplify right side
    92,904x = 20,033,571,600
  5. Step 5: Solve for x
    x = 20,033,571,600/92,904
  6. Step 6: Final answer
    x = 215,637.34

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