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Finding the Third Proportional to 100,877 and 146,563

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Solution

The third proportional to 100,877 and 146,563 is: 212,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,877 : 146,563 = 146,563 : x
  2. Step 2: Convert to fraction form
    100,877/146,563 = 146,563/x
  3. Step 3: Cross multiply
    100,877x = 146,563 × 146,563
  4. Step 4: Simplify right side
    100,877x = 21,480,712,969
  5. Step 5: Solve for x
    x = 21,480,712,969/100,877
  6. Step 6: Final answer
    x = 212,939.65

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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.