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Finding the Third Proportional to 78,412.50 and 121,506.75

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Solution

The third proportional to 78,412.50 and 121,506.75 is: 188,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412.50 : 121,506.75 = 121,506.75 : x
  2. Step 2: Convert to fraction form
    78,412.50/121,506.75 = 121,506.75/x
  3. Step 3: Cross multiply
    78,412.50x = 121,506.75 × 121,506.75
  4. Step 4: Simplify right side
    78,412.50x = 14,763,890,295.56
  5. Step 5: Solve for x
    x = 14,763,890,295.56/78,412.50
  6. Step 6: Final answer
    x = 188,284.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.