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Finding the Third Proportional to 96,029 and 145,371

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Solution

The third proportional to 96,029 and 145,371 is: 220,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,029 : 145,371 = 145,371 : x
  2. Step 2: Convert to fraction form
    96,029/145,371 = 145,371/x
  3. Step 3: Cross multiply
    96,029x = 145,371 × 145,371
  4. Step 4: Simplify right side
    96,029x = 21,132,727,641
  5. Step 5: Solve for x
    x = 21,132,727,641/96,029
  6. Step 6: Final answer
    x = 220,066.10

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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.