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Finding the Third Proportional to 107,785 and 144,999

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Solution

The third proportional to 107,785 and 144,999 is: 195,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,785 : 144,999 = 144,999 : x
  2. Step 2: Convert to fraction form
    107,785/144,999 = 144,999/x
  3. Step 3: Cross multiply
    107,785x = 144,999 × 144,999
  4. Step 4: Simplify right side
    107,785x = 21,024,710,001
  5. Step 5: Solve for x
    x = 21,024,710,001/107,785
  6. Step 6: Final answer
    x = 195,061.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.