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Finding the Third Proportional to 75,115 and 152,304.25

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Solution

The third proportional to 75,115 and 152,304.25 is: 308,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,115 : 152,304.25 = 152,304.25 : x
  2. Step 2: Convert to fraction form
    75,115/152,304.25 = 152,304.25/x
  3. Step 3: Cross multiply
    75,115x = 152,304.25 × 152,304.25
  4. Step 4: Simplify right side
    75,115x = 23,196,584,568.06
  5. Step 5: Solve for x
    x = 23,196,584,568.06/75,115
  6. Step 6: Final answer
    x = 308,814.28

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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.