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Finding the Third Proportional to 86,756.63 and 131,229

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Solution

The third proportional to 86,756.63 and 131,229 is: 198,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,756.63 : 131,229 = 131,229 : x
  2. Step 2: Convert to fraction form
    86,756.63/131,229 = 131,229/x
  3. Step 3: Cross multiply
    86,756.63x = 131,229 × 131,229
  4. Step 4: Simplify right side
    86,756.63x = 17,221,050,441
  5. Step 5: Solve for x
    x = 17,221,050,441/86,756.63
  6. Step 6: Final answer
    x = 198,498.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.