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Finding the Third Proportional to 78,802.50 and 118,284.75

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Solution

The third proportional to 78,802.50 and 118,284.75 is: 177,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,802.50 : 118,284.75 = 118,284.75 : x
  2. Step 2: Convert to fraction form
    78,802.50/118,284.75 = 118,284.75/x
  3. Step 3: Cross multiply
    78,802.50x = 118,284.75 × 118,284.75
  4. Step 4: Simplify right side
    78,802.50x = 13,991,282,082.56
  5. Step 5: Solve for x
    x = 13,991,282,082.56/78,802.50
  6. Step 6: Final answer
    x = 177,548.71

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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.