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Finding the Third Proportional to 96,254 and 148,757

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Solution

The third proportional to 96,254 and 148,757 is: 229,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,254 : 148,757 = 148,757 : x
  2. Step 2: Convert to fraction form
    96,254/148,757 = 148,757/x
  3. Step 3: Cross multiply
    96,254x = 148,757 × 148,757
  4. Step 4: Simplify right side
    96,254x = 22,128,645,049
  5. Step 5: Solve for x
    x = 22,128,645,049/96,254
  6. Step 6: Final answer
    x = 229,898.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.