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Finding the Third Proportional to 125,119.50 and 272,065.50

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Solution

The third proportional to 125,119.50 and 272,065.50 is: 591,591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,119.50 : 272,065.50 = 272,065.50 : x
  2. Step 2: Convert to fraction form
    125,119.50/272,065.50 = 272,065.50/x
  3. Step 3: Cross multiply
    125,119.50x = 272,065.50 × 272,065.50
  4. Step 4: Simplify right side
    125,119.50x = 74,019,636,290.25
  5. Step 5: Solve for x
    x = 74,019,636,290.25/125,119.50
  6. Step 6: Final answer
    x = 591,591.53

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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.