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Finding the Third Proportional to 58,224 and 124,758

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Solution

The third proportional to 58,224 and 124,758 is: 267,322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,224 : 124,758 = 124,758 : x
  2. Step 2: Convert to fraction form
    58,224/124,758 = 124,758/x
  3. Step 3: Cross multiply
    58,224x = 124,758 × 124,758
  4. Step 4: Simplify right side
    58,224x = 15,564,558,564
  5. Step 5: Solve for x
    x = 15,564,558,564/58,224
  6. Step 6: Final answer
    x = 267,322.04

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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.