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Finding the Third Proportional to 125,656.50 and 273,129

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Solution

The third proportional to 125,656.50 and 273,129 is: 593,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,656.50 : 273,129 = 273,129 : x
  2. Step 2: Convert to fraction form
    125,656.50/273,129 = 273,129/x
  3. Step 3: Cross multiply
    125,656.50x = 273,129 × 273,129
  4. Step 4: Simplify right side
    125,656.50x = 74,599,450,641
  5. Step 5: Solve for x
    x = 74,599,450,641/125,656.50
  6. Step 6: Final answer
    x = 593,677.61

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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.