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Finding the Third Proportional to 57,441 and 124,107

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Solution

The third proportional to 57,441 and 124,107 is: 268,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,441 : 124,107 = 124,107 : x
  2. Step 2: Convert to fraction form
    57,441/124,107 = 124,107/x
  3. Step 3: Cross multiply
    57,441x = 124,107 × 124,107
  4. Step 4: Simplify right side
    57,441x = 15,402,547,449
  5. Step 5: Solve for x
    x = 15,402,547,449/57,441
  6. Step 6: Final answer
    x = 268,145.53

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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.