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Finding the Third Proportional to 96,520 and 147,651

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Solution

The third proportional to 96,520 and 147,651 is: 225,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,520 : 147,651 = 147,651 : x
  2. Step 2: Convert to fraction form
    96,520/147,651 = 147,651/x
  3. Step 3: Cross multiply
    96,520x = 147,651 × 147,651
  4. Step 4: Simplify right side
    96,520x = 21,800,817,801
  5. Step 5: Solve for x
    x = 21,800,817,801/96,520
  6. Step 6: Final answer
    x = 225,868.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.