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Finding the Third Proportional to 119,065.50 and 178,582.50

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Solution

The third proportional to 119,065.50 and 178,582.50 is: 267,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,065.50 : 178,582.50 = 178,582.50 : x
  2. Step 2: Convert to fraction form
    119,065.50/178,582.50 = 178,582.50/x
  3. Step 3: Cross multiply
    119,065.50x = 178,582.50 × 178,582.50
  4. Step 4: Simplify right side
    119,065.50x = 31,891,709,306.25
  5. Step 5: Solve for x
    x = 31,891,709,306.25/119,065.50
  6. Step 6: Final answer
    x = 267,850.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.