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Finding the Third Proportional to 72,691.50 and 155,895

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Solution

The third proportional to 72,691.50 and 155,895 is: 334,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,691.50 : 155,895 = 155,895 : x
  2. Step 2: Convert to fraction form
    72,691.50/155,895 = 155,895/x
  3. Step 3: Cross multiply
    72,691.50x = 155,895 × 155,895
  4. Step 4: Simplify right side
    72,691.50x = 24,303,251,025
  5. Step 5: Solve for x
    x = 24,303,251,025/72,691.50
  6. Step 6: Final answer
    x = 334,334.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.