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Finding the Third Proportional to 75,097.13 and 152,266.50

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Solution

The third proportional to 75,097.13 and 152,266.50 is: 308,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,097.13 : 152,266.50 = 152,266.50 : x
  2. Step 2: Convert to fraction form
    75,097.13/152,266.50 = 152,266.50/x
  3. Step 3: Cross multiply
    75,097.13x = 152,266.50 × 152,266.50
  4. Step 4: Simplify right side
    75,097.13x = 23,185,087,022.25
  5. Step 5: Solve for x
    x = 23,185,087,022.25/75,097.13
  6. Step 6: Final answer
    x = 308,734.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.