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Finding the Third Proportional to 69,116 and 99,900

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Solution

The third proportional to 69,116 and 99,900 is: 144,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,116 : 99,900 = 99,900 : x
  2. Step 2: Convert to fraction form
    69,116/99,900 = 99,900/x
  3. Step 3: Cross multiply
    69,116x = 99,900 × 99,900
  4. Step 4: Simplify right side
    69,116x = 9,980,010,000
  5. Step 5: Solve for x
    x = 9,980,010,000/69,116
  6. Step 6: Final answer
    x = 144,395.07

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.