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Finding the Third Proportional to 96,332 and 143,478

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Solution

The third proportional to 96,332 and 143,478 is: 213,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,332 : 143,478 = 143,478 : x
  2. Step 2: Convert to fraction form
    96,332/143,478 = 143,478/x
  3. Step 3: Cross multiply
    96,332x = 143,478 × 143,478
  4. Step 4: Simplify right side
    96,332x = 20,585,936,484
  5. Step 5: Solve for x
    x = 20,585,936,484/96,332
  6. Step 6: Final answer
    x = 213,697.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.