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Finding the Third Proportional to 70,989.75 and 153,046.13

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Solution

The third proportional to 70,989.75 and 153,046.13 is: 329,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,989.75 : 153,046.13 = 153,046.13 : x
  2. Step 2: Convert to fraction form
    70,989.75/153,046.13 = 153,046.13/x
  3. Step 3: Cross multiply
    70,989.75x = 153,046.13 × 153,046.13
  4. Step 4: Simplify right side
    70,989.75x = 23,423,116,377.52
  5. Step 5: Solve for x
    x = 23,423,116,377.52/70,989.75
  6. Step 6: Final answer
    x = 329,950.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.