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Finding the Third Proportional to 96,053 and 154,331

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Solution

The third proportional to 96,053 and 154,331 is: 247,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,053 : 154,331 = 154,331 : x
  2. Step 2: Convert to fraction form
    96,053/154,331 = 154,331/x
  3. Step 3: Cross multiply
    96,053x = 154,331 × 154,331
  4. Step 4: Simplify right side
    96,053x = 23,818,057,561
  5. Step 5: Solve for x
    x = 23,818,057,561/96,053
  6. Step 6: Final answer
    x = 247,967.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.