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Finding the Third Proportional to 67,080 and 124,650

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Solution

The third proportional to 67,080 and 124,650 is: 231,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,080 : 124,650 = 124,650 : x
  2. Step 2: Convert to fraction form
    67,080/124,650 = 124,650/x
  3. Step 3: Cross multiply
    67,080x = 124,650 × 124,650
  4. Step 4: Simplify right side
    67,080x = 15,537,622,500
  5. Step 5: Solve for x
    x = 15,537,622,500/67,080
  6. Step 6: Final answer
    x = 231,628.24

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.