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Finding the Third Proportional to 78,453.75 and 118,417.50

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Solution

The third proportional to 78,453.75 and 118,417.50 is: 178,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,453.75 : 118,417.50 = 118,417.50 : x
  2. Step 2: Convert to fraction form
    78,453.75/118,417.50 = 118,417.50/x
  3. Step 3: Cross multiply
    78,453.75x = 118,417.50 × 118,417.50
  4. Step 4: Simplify right side
    78,453.75x = 14,022,704,306.25
  5. Step 5: Solve for x
    x = 14,022,704,306.25/78,453.75
  6. Step 6: Final answer
    x = 178,738.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.