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Finding the Third Proportional to 57,417 and 123,140

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Solution

The third proportional to 57,417 and 123,140 is: 264,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,417 : 123,140 = 123,140 : x
  2. Step 2: Convert to fraction form
    57,417/123,140 = 123,140/x
  3. Step 3: Cross multiply
    57,417x = 123,140 × 123,140
  4. Step 4: Simplify right side
    57,417x = 15,163,459,600
  5. Step 5: Solve for x
    x = 15,163,459,600/57,417
  6. Step 6: Final answer
    x = 264,093.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.