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Finding the Third Proportional to 112,987.13 and 174,946.50

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Solution

The third proportional to 112,987.13 and 174,946.50 is: 270,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,987.13 : 174,946.50 = 174,946.50 : x
  2. Step 2: Convert to fraction form
    112,987.13/174,946.50 = 174,946.50/x
  3. Step 3: Cross multiply
    112,987.13x = 174,946.50 × 174,946.50
  4. Step 4: Simplify right side
    112,987.13x = 30,606,277,862.25
  5. Step 5: Solve for x
    x = 30,606,277,862.25/112,987.13
  6. Step 6: Final answer
    x = 270,882.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.