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Finding the Third Proportional to 96,258 and 144,387

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Solution

The third proportional to 96,258 and 144,387 is: 216,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,258 : 144,387 = 144,387 : x
  2. Step 2: Convert to fraction form
    96,258/144,387 = 144,387/x
  3. Step 3: Cross multiply
    96,258x = 144,387 × 144,387
  4. Step 4: Simplify right side
    96,258x = 20,847,605,769
  5. Step 5: Solve for x
    x = 20,847,605,769/96,258
  6. Step 6: Final answer
    x = 216,580.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.