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Finding the Third Proportional to 73,602 and 155,979

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Solution

The third proportional to 73,602 and 155,979 is: 330,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,602 : 155,979 = 155,979 : x
  2. Step 2: Convert to fraction form
    73,602/155,979 = 155,979/x
  3. Step 3: Cross multiply
    73,602x = 155,979 × 155,979
  4. Step 4: Simplify right side
    73,602x = 24,329,448,441
  5. Step 5: Solve for x
    x = 24,329,448,441/73,602
  6. Step 6: Final answer
    x = 330,554.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.