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Finding the Third Proportional to 71,108.75 and 152,337.75

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Solution

The third proportional to 71,108.75 and 152,337.75 is: 326,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,108.75 : 152,337.75 = 152,337.75 : x
  2. Step 2: Convert to fraction form
    71,108.75/152,337.75 = 152,337.75/x
  3. Step 3: Cross multiply
    71,108.75x = 152,337.75 × 152,337.75
  4. Step 4: Simplify right side
    71,108.75x = 23,206,790,075.06
  5. Step 5: Solve for x
    x = 23,206,790,075.06/71,108.75
  6. Step 6: Final answer
    x = 326,356.32

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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.