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Finding the Third Proportional to 124,608 and 187,071

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Solution

The third proportional to 124,608 and 187,071 is: 280,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,608 : 187,071 = 187,071 : x
  2. Step 2: Convert to fraction form
    124,608/187,071 = 187,071/x
  3. Step 3: Cross multiply
    124,608x = 187,071 × 187,071
  4. Step 4: Simplify right side
    124,608x = 34,995,559,041
  5. Step 5: Solve for x
    x = 34,995,559,041/124,608
  6. Step 6: Final answer
    x = 280,845.20

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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.