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Finding the Third Proportional to 69,822 and 99,265.50

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Solution

The third proportional to 69,822 and 99,265.50 is: 141,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,822 : 99,265.50 = 99,265.50 : x
  2. Step 2: Convert to fraction form
    69,822/99,265.50 = 99,265.50/x
  3. Step 3: Cross multiply
    69,822x = 99,265.50 × 99,265.50
  4. Step 4: Simplify right side
    69,822x = 9,853,639,490.25
  5. Step 5: Solve for x
    x = 9,853,639,490.25/69,822
  6. Step 6: Final answer
    x = 141,125.14

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