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Finding the Third Proportional to 96,076 and 144,422

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Solution

The third proportional to 96,076 and 144,422 is: 217,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,076 : 144,422 = 144,422 : x
  2. Step 2: Convert to fraction form
    96,076/144,422 = 144,422/x
  3. Step 3: Cross multiply
    96,076x = 144,422 × 144,422
  4. Step 4: Simplify right side
    96,076x = 20,857,714,084
  5. Step 5: Solve for x
    x = 20,857,714,084/96,076
  6. Step 6: Final answer
    x = 217,095.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.