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Finding the Third Proportional to 119,170.50 and 185,787

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Solution

The third proportional to 119,170.50 and 185,787 is: 289,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,170.50 : 185,787 = 185,787 : x
  2. Step 2: Convert to fraction form
    119,170.50/185,787 = 185,787/x
  3. Step 3: Cross multiply
    119,170.50x = 185,787 × 185,787
  4. Step 4: Simplify right side
    119,170.50x = 34,516,809,369
  5. Step 5: Solve for x
    x = 34,516,809,369/119,170.50
  6. Step 6: Final answer
    x = 289,642.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.