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Finding the Third Proportional to 57,543 and 124,887

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Solution

The third proportional to 57,543 and 124,887 is: 271,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,543 : 124,887 = 124,887 : x
  2. Step 2: Convert to fraction form
    57,543/124,887 = 124,887/x
  3. Step 3: Cross multiply
    57,543x = 124,887 × 124,887
  4. Step 4: Simplify right side
    57,543x = 15,596,762,769
  5. Step 5: Solve for x
    x = 15,596,762,769/57,543
  6. Step 6: Final answer
    x = 271,045.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.