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Finding the Third Proportional to 124,642 and 187,106

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Solution

The third proportional to 124,642 and 187,106 is: 280,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,642 : 187,106 = 187,106 : x
  2. Step 2: Convert to fraction form
    124,642/187,106 = 187,106/x
  3. Step 3: Cross multiply
    124,642x = 187,106 × 187,106
  4. Step 4: Simplify right side
    124,642x = 35,008,655,236
  5. Step 5: Solve for x
    x = 35,008,655,236/124,642
  6. Step 6: Final answer
    x = 280,873.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.