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Finding the Third Proportional to 67,061.25 and 145,012.50

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Solution

The third proportional to 67,061.25 and 145,012.50 is: 313,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,061.25 : 145,012.50 = 145,012.50 : x
  2. Step 2: Convert to fraction form
    67,061.25/145,012.50 = 145,012.50/x
  3. Step 3: Cross multiply
    67,061.25x = 145,012.50 × 145,012.50
  4. Step 4: Simplify right side
    67,061.25x = 21,028,625,156.25
  5. Step 5: Solve for x
    x = 21,028,625,156.25/67,061.25
  6. Step 6: Final answer
    x = 313,573.41

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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.