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Finding the Third Proportional to 71,077.50 and 153,238.50

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Solution

The third proportional to 71,077.50 and 153,238.50 is: 330,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.50 : 153,238.50 = 153,238.50 : x
  2. Step 2: Convert to fraction form
    71,077.50/153,238.50 = 153,238.50/x
  3. Step 3: Cross multiply
    71,077.50x = 153,238.50 × 153,238.50
  4. Step 4: Simplify right side
    71,077.50x = 23,482,037,882.25
  5. Step 5: Solve for x
    x = 23,482,037,882.25/71,077.50
  6. Step 6: Final answer
    x = 330,372.31

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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.