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Finding the Third Proportional to 72,478 and 155,669

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Solution

The third proportional to 72,478 and 155,669 is: 334,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,478 : 155,669 = 155,669 : x
  2. Step 2: Convert to fraction form
    72,478/155,669 = 155,669/x
  3. Step 3: Cross multiply
    72,478x = 155,669 × 155,669
  4. Step 4: Simplify right side
    72,478x = 24,232,837,561
  5. Step 5: Solve for x
    x = 24,232,837,561/72,478
  6. Step 6: Final answer
    x = 334,347.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.