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Finding the Third Proportional to 86,575.88 and 132,985.88

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Solution

The third proportional to 86,575.88 and 132,985.88 is: 204,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,575.88 : 132,985.88 = 132,985.88 : x
  2. Step 2: Convert to fraction form
    86,575.88/132,985.88 = 132,985.88/x
  3. Step 3: Cross multiply
    86,575.88x = 132,985.88 × 132,985.88
  4. Step 4: Simplify right side
    86,575.88x = 17,685,242,949.52
  5. Step 5: Solve for x
    x = 17,685,242,949.52/86,575.88
  6. Step 6: Final answer
    x = 204,274.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.