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Finding the Third Proportional to 78,161 and 121,102.50

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Solution

The third proportional to 78,161 and 121,102.50 is: 187,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161 : 121,102.50 = 121,102.50 : x
  2. Step 2: Convert to fraction form
    78,161/121,102.50 = 121,102.50/x
  3. Step 3: Cross multiply
    78,161x = 121,102.50 × 121,102.50
  4. Step 4: Simplify right side
    78,161x = 14,665,815,506.25
  5. Step 5: Solve for x
    x = 14,665,815,506.25/78,161
  6. Step 6: Final answer
    x = 187,635.98

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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.