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Finding the Third Proportional to 70,531.70 and 152,135.09

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Solution

The third proportional to 70,531.70 and 152,135.09 is: 328,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,531.70 : 152,135.09 = 152,135.09 : x
  2. Step 2: Convert to fraction form
    70,531.70/152,135.09 = 152,135.09/x
  3. Step 3: Cross multiply
    70,531.70x = 152,135.09 × 152,135.09
  4. Step 4: Simplify right side
    70,531.70x = 23,145,084,373.21
  5. Step 5: Solve for x
    x = 23,145,084,373.21/70,531.70
  6. Step 6: Final answer
    x = 328,151.52

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