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Finding the Third Proportional to 57,506 and 124,084

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Solution

The third proportional to 57,506 and 124,084 is: 267,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,506 : 124,084 = 124,084 : x
  2. Step 2: Convert to fraction form
    57,506/124,084 = 124,084/x
  3. Step 3: Cross multiply
    57,506x = 124,084 × 124,084
  4. Step 4: Simplify right side
    57,506x = 15,396,839,056
  5. Step 5: Solve for x
    x = 15,396,839,056/57,506
  6. Step 6: Final answer
    x = 267,743.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.