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Finding the Third Proportional to 75,655.13 and 163,834.88

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Solution

The third proportional to 75,655.13 and 163,834.88 is: 354,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,655.13 : 163,834.88 = 163,834.88 : x
  2. Step 2: Convert to fraction form
    75,655.13/163,834.88 = 163,834.88/x
  3. Step 3: Cross multiply
    75,655.13x = 163,834.88 × 163,834.88
  4. Step 4: Simplify right side
    75,655.13x = 26,841,866,266.27
  5. Step 5: Solve for x
    x = 26,841,866,266.27/75,655.13
  6. Step 6: Final answer
    x = 354,792.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.