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Finding the Third Proportional to 98,713.13 and 144,367.59

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Solution

The third proportional to 98,713.13 and 144,367.59 is: 211,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,713.13 : 144,367.59 = 144,367.59 : x
  2. Step 2: Convert to fraction form
    98,713.13/144,367.59 = 144,367.59/x
  3. Step 3: Cross multiply
    98,713.13x = 144,367.59 × 144,367.59
  4. Step 4: Simplify right side
    98,713.13x = 20,842,002,125.17
  5. Step 5: Solve for x
    x = 20,842,002,125.17/98,713.13
  6. Step 6: Final answer
    x = 211,137.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.