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Finding the Third Proportional to 67,057.50 and 145,648.50

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Solution

The third proportional to 67,057.50 and 145,648.50 is: 316,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,057.50 : 145,648.50 = 145,648.50 : x
  2. Step 2: Convert to fraction form
    67,057.50/145,648.50 = 145,648.50/x
  3. Step 3: Cross multiply
    67,057.50x = 145,648.50 × 145,648.50
  4. Step 4: Simplify right side
    67,057.50x = 21,213,485,552.25
  5. Step 5: Solve for x
    x = 21,213,485,552.25/67,057.50
  6. Step 6: Final answer
    x = 316,347.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.