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Finding the Third Proportional to 96,264 and 141,484

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Solution

The third proportional to 96,264 and 141,484 is: 207,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,264 : 141,484 = 141,484 : x
  2. Step 2: Convert to fraction form
    96,264/141,484 = 141,484/x
  3. Step 3: Cross multiply
    96,264x = 141,484 × 141,484
  4. Step 4: Simplify right side
    96,264x = 20,017,722,256
  5. Step 5: Solve for x
    x = 20,017,722,256/96,264
  6. Step 6: Final answer
    x = 207,946.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.