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Finding the Third Proportional to 100,987.50 and 153,579.75

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Solution

The third proportional to 100,987.50 and 153,579.75 is: 233,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,987.50 : 153,579.75 = 153,579.75 : x
  2. Step 2: Convert to fraction form
    100,987.50/153,579.75 = 153,579.75/x
  3. Step 3: Cross multiply
    100,987.50x = 153,579.75 × 153,579.75
  4. Step 4: Simplify right side
    100,987.50x = 23,586,739,610.06
  5. Step 5: Solve for x
    x = 23,586,739,610.06/100,987.50
  6. Step 6: Final answer
    x = 233,560.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.