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Finding the Third Proportional to 125,793 and 273,730

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Solution

The third proportional to 125,793 and 273,730 is: 595,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,793 : 273,730 = 273,730 : x
  2. Step 2: Convert to fraction form
    125,793/273,730 = 273,730/x
  3. Step 3: Cross multiply
    125,793x = 273,730 × 273,730
  4. Step 4: Simplify right side
    125,793x = 74,928,112,900
  5. Step 5: Solve for x
    x = 74,928,112,900/125,793
  6. Step 6: Final answer
    x = 595,646.12

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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.