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Finding the Third Proportional to 82,611.56 and 172,346.06

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Solution

The third proportional to 82,611.56 and 172,346.06 is: 359,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,611.56 : 172,346.06 = 172,346.06 : x
  2. Step 2: Convert to fraction form
    82,611.56/172,346.06 = 172,346.06/x
  3. Step 3: Cross multiply
    82,611.56x = 172,346.06 × 172,346.06
  4. Step 4: Simplify right side
    82,611.56x = 29,703,165,259.25
  5. Step 5: Solve for x
    x = 29,703,165,259.25/82,611.56
  6. Step 6: Final answer
    x = 359,552.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.