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Finding the Third Proportional to 71,459.25 and 152,409

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Solution

The third proportional to 71,459.25 and 152,409 is: 325,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,459.25 : 152,409 = 152,409 : x
  2. Step 2: Convert to fraction form
    71,459.25/152,409 = 152,409/x
  3. Step 3: Cross multiply
    71,459.25x = 152,409 × 152,409
  4. Step 4: Simplify right side
    71,459.25x = 23,228,503,281
  5. Step 5: Solve for x
    x = 23,228,503,281/71,459.25
  6. Step 6: Final answer
    x = 325,059.43

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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.