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Finding the Third Proportional to 124,068 and 187,614

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Solution

The third proportional to 124,068 and 187,614 is: 283,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,068 : 187,614 = 187,614 : x
  2. Step 2: Convert to fraction form
    124,068/187,614 = 187,614/x
  3. Step 3: Cross multiply
    124,068x = 187,614 × 187,614
  4. Step 4: Simplify right side
    124,068x = 35,199,012,996
  5. Step 5: Solve for x
    x = 35,199,012,996/124,068
  6. Step 6: Final answer
    x = 283,707.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.