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Finding the Third Proportional to 96,090 and 140,432

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Solution

The third proportional to 96,090 and 140,432 is: 205,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,090 : 140,432 = 140,432 : x
  2. Step 2: Convert to fraction form
    96,090/140,432 = 140,432/x
  3. Step 3: Cross multiply
    96,090x = 140,432 × 140,432
  4. Step 4: Simplify right side
    96,090x = 19,721,146,624
  5. Step 5: Solve for x
    x = 19,721,146,624/96,090
  6. Step 6: Final answer
    x = 205,236.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.