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Finding the Third Proportional to 80,661 and 117,526.50

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Solution

The third proportional to 80,661 and 117,526.50 is: 171,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,661 : 117,526.50 = 117,526.50 : x
  2. Step 2: Convert to fraction form
    80,661/117,526.50 = 117,526.50/x
  3. Step 3: Cross multiply
    80,661x = 117,526.50 × 117,526.50
  4. Step 4: Simplify right side
    80,661x = 13,812,478,202.25
  5. Step 5: Solve for x
    x = 13,812,478,202.25/80,661
  6. Step 6: Final answer
    x = 171,241.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.