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Finding the Third Proportional to 77,613.75 and 119,857.50

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Solution

The third proportional to 77,613.75 and 119,857.50 is: 185,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,613.75 : 119,857.50 = 119,857.50 : x
  2. Step 2: Convert to fraction form
    77,613.75/119,857.50 = 119,857.50/x
  3. Step 3: Cross multiply
    77,613.75x = 119,857.50 × 119,857.50
  4. Step 4: Simplify right side
    77,613.75x = 14,365,820,306.25
  5. Step 5: Solve for x
    x = 14,365,820,306.25/77,613.75
  6. Step 6: Final answer
    x = 185,093.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.