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Finding the Third Proportional to 96,471 and 148,371

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Solution

The third proportional to 96,471 and 148,371 is: 228,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,471 : 148,371 = 148,371 : x
  2. Step 2: Convert to fraction form
    96,471/148,371 = 148,371/x
  3. Step 3: Cross multiply
    96,471x = 148,371 × 148,371
  4. Step 4: Simplify right side
    96,471x = 22,013,953,641
  5. Step 5: Solve for x
    x = 22,013,953,641/96,471
  6. Step 6: Final answer
    x = 228,192.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.