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Finding the Third Proportional to 67,166 and 99,809.50

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Solution

The third proportional to 67,166 and 99,809.50 is: 148,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,166 : 99,809.50 = 99,809.50 : x
  2. Step 2: Convert to fraction form
    67,166/99,809.50 = 99,809.50/x
  3. Step 3: Cross multiply
    67,166x = 99,809.50 × 99,809.50
  4. Step 4: Simplify right side
    67,166x = 9,961,936,290.25
  5. Step 5: Solve for x
    x = 9,961,936,290.25/67,166
  6. Step 6: Final answer
    x = 148,318.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.