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Finding the Third Proportional to 69,905 and 152,098

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Solution

The third proportional to 69,905 and 152,098 is: 330,932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,905 : 152,098 = 152,098 : x
  2. Step 2: Convert to fraction form
    69,905/152,098 = 152,098/x
  3. Step 3: Cross multiply
    69,905x = 152,098 × 152,098
  4. Step 4: Simplify right side
    69,905x = 23,133,801,604
  5. Step 5: Solve for x
    x = 23,133,801,604/69,905
  6. Step 6: Final answer
    x = 330,932.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.