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Finding the Third Proportional to 74,020 and 150,787

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Solution

The third proportional to 74,020 and 150,787 is: 307,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,020 : 150,787 = 150,787 : x
  2. Step 2: Convert to fraction form
    74,020/150,787 = 150,787/x
  3. Step 3: Cross multiply
    74,020x = 150,787 × 150,787
  4. Step 4: Simplify right side
    74,020x = 22,736,719,369
  5. Step 5: Solve for x
    x = 22,736,719,369/74,020
  6. Step 6: Final answer
    x = 307,169.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.