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Finding the Third Proportional to 58,232 and 124,774

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Solution

The third proportional to 58,232 and 124,774 is: 267,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,232 : 124,774 = 124,774 : x
  2. Step 2: Convert to fraction form
    58,232/124,774 = 124,774/x
  3. Step 3: Cross multiply
    58,232x = 124,774 × 124,774
  4. Step 4: Simplify right side
    58,232x = 15,568,551,076
  5. Step 5: Solve for x
    x = 15,568,551,076/58,232
  6. Step 6: Final answer
    x = 267,353.88

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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.