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Finding the Third Proportional to 58,440 and 126,078

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Solution

The third proportional to 58,440 and 126,078 is: 271,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,440 : 126,078 = 126,078 : x
  2. Step 2: Convert to fraction form
    58,440/126,078 = 126,078/x
  3. Step 3: Cross multiply
    58,440x = 126,078 × 126,078
  4. Step 4: Simplify right side
    58,440x = 15,895,662,084
  5. Step 5: Solve for x
    x = 15,895,662,084/58,440
  6. Step 6: Final answer
    x = 271,999.69

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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.