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Finding the Third Proportional to 71,498.25 and 152,498.25

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Solution

The third proportional to 71,498.25 and 152,498.25 is: 325,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,498.25 : 152,498.25 = 152,498.25 : x
  2. Step 2: Convert to fraction form
    71,498.25/152,498.25 = 152,498.25/x
  3. Step 3: Cross multiply
    71,498.25x = 152,498.25 × 152,498.25
  4. Step 4: Simplify right side
    71,498.25x = 23,255,716,253.06
  5. Step 5: Solve for x
    x = 23,255,716,253.06/71,498.25
  6. Step 6: Final answer
    x = 325,262.73

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.