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Finding the Third Proportional to 125,076 and 273,108

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Solution

The third proportional to 125,076 and 273,108 is: 596,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,076 : 273,108 = 273,108 : x
  2. Step 2: Convert to fraction form
    125,076/273,108 = 273,108/x
  3. Step 3: Cross multiply
    125,076x = 273,108 × 273,108
  4. Step 4: Simplify right side
    125,076x = 74,587,979,664
  5. Step 5: Solve for x
    x = 74,587,979,664/125,076
  6. Step 6: Final answer
    x = 596,341.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.