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Finding the Third Proportional to 77,769.75 and 116,626.50

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Solution

The third proportional to 77,769.75 and 116,626.50 is: 174,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,769.75 : 116,626.50 = 116,626.50 : x
  2. Step 2: Convert to fraction form
    77,769.75/116,626.50 = 116,626.50/x
  3. Step 3: Cross multiply
    77,769.75x = 116,626.50 × 116,626.50
  4. Step 4: Simplify right side
    77,769.75x = 13,601,740,502.25
  5. Step 5: Solve for x
    x = 13,601,740,502.25/77,769.75
  6. Step 6: Final answer
    x = 174,897.57

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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.