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Finding the Third Proportional to 125,881.50 and 273,093

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Solution

The third proportional to 125,881.50 and 273,093 is: 592,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,881.50 : 273,093 = 273,093 : x
  2. Step 2: Convert to fraction form
    125,881.50/273,093 = 273,093/x
  3. Step 3: Cross multiply
    125,881.50x = 273,093 × 273,093
  4. Step 4: Simplify right side
    125,881.50x = 74,579,786,649
  5. Step 5: Solve for x
    x = 74,579,786,649/125,881.50
  6. Step 6: Final answer
    x = 592,460.26

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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.