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Finding the Third Proportional to 126,748 and 273,152

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Solution

The third proportional to 126,748 and 273,152 is: 588,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,748 : 273,152 = 273,152 : x
  2. Step 2: Convert to fraction form
    126,748/273,152 = 273,152/x
  3. Step 3: Cross multiply
    126,748x = 273,152 × 273,152
  4. Step 4: Simplify right side
    126,748x = 74,612,015,104
  5. Step 5: Solve for x
    x = 74,612,015,104/126,748
  6. Step 6: Final answer
    x = 588,664.24

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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.