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Finding the Third Proportional to 67,456 and 147,060

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Solution

The third proportional to 67,456 and 147,060 is: 320,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,456 : 147,060 = 147,060 : x
  2. Step 2: Convert to fraction form
    67,456/147,060 = 147,060/x
  3. Step 3: Cross multiply
    67,456x = 147,060 × 147,060
  4. Step 4: Simplify right side
    67,456x = 21,626,643,600
  5. Step 5: Solve for x
    x = 21,626,643,600/67,456
  6. Step 6: Final answer
    x = 320,603.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.