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Finding the Third Proportional to 132,274.13 and 199,603.88

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Solution

The third proportional to 132,274.13 and 199,603.88 is: 301,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,274.13 : 199,603.88 = 199,603.88 : x
  2. Step 2: Convert to fraction form
    132,274.13/199,603.88 = 199,603.88/x
  3. Step 3: Cross multiply
    132,274.13x = 199,603.88 × 199,603.88
  4. Step 4: Simplify right side
    132,274.13x = 39,841,706,915.02
  5. Step 5: Solve for x
    x = 39,841,706,915.02/132,274.13
  6. Step 6: Final answer
    x = 301,205.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.