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Finding the Third Proportional to 79,585.50 and 172,293

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Solution

The third proportional to 79,585.50 and 172,293 is: 372,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,585.50 : 172,293 = 172,293 : x
  2. Step 2: Convert to fraction form
    79,585.50/172,293 = 172,293/x
  3. Step 3: Cross multiply
    79,585.50x = 172,293 × 172,293
  4. Step 4: Simplify right side
    79,585.50x = 29,684,877,849
  5. Step 5: Solve for x
    x = 29,684,877,849/79,585.50
  6. Step 6: Final answer
    x = 372,993.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.