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Finding the Third Proportional to 77,656.50 and 110,115

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Solution

The third proportional to 77,656.50 and 110,115 is: 156,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,656.50 : 110,115 = 110,115 : x
  2. Step 2: Convert to fraction form
    77,656.50/110,115 = 110,115/x
  3. Step 3: Cross multiply
    77,656.50x = 110,115 × 110,115
  4. Step 4: Simplify right side
    77,656.50x = 12,125,313,225
  5. Step 5: Solve for x
    x = 12,125,313,225/77,656.50
  6. Step 6: Final answer
    x = 156,140.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.