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Finding the Third Proportional to 59,695.50 and 81,121

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Solution

The third proportional to 59,695.50 and 81,121 is: 110,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,695.50 : 81,121 = 81,121 : x
  2. Step 2: Convert to fraction form
    59,695.50/81,121 = 81,121/x
  3. Step 3: Cross multiply
    59,695.50x = 81,121 × 81,121
  4. Step 4: Simplify right side
    59,695.50x = 6,580,616,641
  5. Step 5: Solve for x
    x = 6,580,616,641/59,695.50
  6. Step 6: Final answer
    x = 110,236.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.