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Finding the Third Proportional to 132,987.75 and 199,614

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Solution

The third proportional to 132,987.75 and 199,614 is: 299,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,987.75 : 199,614 = 199,614 : x
  2. Step 2: Convert to fraction form
    132,987.75/199,614 = 199,614/x
  3. Step 3: Cross multiply
    132,987.75x = 199,614 × 199,614
  4. Step 4: Simplify right side
    132,987.75x = 39,845,748,996
  5. Step 5: Solve for x
    x = 39,845,748,996/132,987.75
  6. Step 6: Final answer
    x = 299,619.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.