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Finding the Third Proportional to 127,122 and 273,948

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Solution

The third proportional to 127,122 and 273,948 is: 590,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,122 : 273,948 = 273,948 : x
  2. Step 2: Convert to fraction form
    127,122/273,948 = 273,948/x
  3. Step 3: Cross multiply
    127,122x = 273,948 × 273,948
  4. Step 4: Simplify right side
    127,122x = 75,047,506,704
  5. Step 5: Solve for x
    x = 75,047,506,704/127,122
  6. Step 6: Final answer
    x = 590,358.13

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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.