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Finding the Third Proportional to 71,101.88 and 152,045.25

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Solution

The third proportional to 71,101.88 and 152,045.25 is: 325,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,101.88 : 152,045.25 = 152,045.25 : x
  2. Step 2: Convert to fraction form
    71,101.88/152,045.25 = 152,045.25/x
  3. Step 3: Cross multiply
    71,101.88x = 152,045.25 × 152,045.25
  4. Step 4: Simplify right side
    71,101.88x = 23,117,758,047.56
  5. Step 5: Solve for x
    x = 23,117,758,047.56/71,101.88
  6. Step 6: Final answer
    x = 325,135.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.