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Finding the Third Proportional to 57,746 and 124,088

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Solution

The third proportional to 57,746 and 124,088 is: 266,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,746 : 124,088 = 124,088 : x
  2. Step 2: Convert to fraction form
    57,746/124,088 = 124,088/x
  3. Step 3: Cross multiply
    57,746x = 124,088 × 124,088
  4. Step 4: Simplify right side
    57,746x = 15,397,831,744
  5. Step 5: Solve for x
    x = 15,397,831,744/57,746
  6. Step 6: Final answer
    x = 266,647.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.