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Finding the Third Proportional to 69,697 and 108,073.50

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Solution

The third proportional to 69,697 and 108,073.50 is: 167,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,697 : 108,073.50 = 108,073.50 : x
  2. Step 2: Convert to fraction form
    69,697/108,073.50 = 108,073.50/x
  3. Step 3: Cross multiply
    69,697x = 108,073.50 × 108,073.50
  4. Step 4: Simplify right side
    69,697x = 11,679,881,402.25
  5. Step 5: Solve for x
    x = 11,679,881,402.25/69,697
  6. Step 6: Final answer
    x = 167,580.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.