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Finding the Third Proportional to 72,484 and 149,941

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Solution

The third proportional to 72,484 and 149,941 is: 310,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,484 : 149,941 = 149,941 : x
  2. Step 2: Convert to fraction form
    72,484/149,941 = 149,941/x
  3. Step 3: Cross multiply
    72,484x = 149,941 × 149,941
  4. Step 4: Simplify right side
    72,484x = 22,482,303,481
  5. Step 5: Solve for x
    x = 22,482,303,481/72,484
  6. Step 6: Final answer
    x = 310,169.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.