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Finding the Third Proportional to 124,615 and 187,082

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Solution

The third proportional to 124,615 and 187,082 is: 280,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,615 : 187,082 = 187,082 : x
  2. Step 2: Convert to fraction form
    124,615/187,082 = 187,082/x
  3. Step 3: Cross multiply
    124,615x = 187,082 × 187,082
  4. Step 4: Simplify right side
    124,615x = 34,999,674,724
  5. Step 5: Solve for x
    x = 34,999,674,724/124,615
  6. Step 6: Final answer
    x = 280,862.45

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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.