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Finding the Third Proportional to 125,877 and 273,084

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Solution

The third proportional to 125,877 and 273,084 is: 592,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,877 : 273,084 = 273,084 : x
  2. Step 2: Convert to fraction form
    125,877/273,084 = 273,084/x
  3. Step 3: Cross multiply
    125,877x = 273,084 × 273,084
  4. Step 4: Simplify right side
    125,877x = 74,574,871,056
  5. Step 5: Solve for x
    x = 74,574,871,056/125,877
  6. Step 6: Final answer
    x = 592,442.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.