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Finding the Third Proportional to 86,011.88 and 132,852.94

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Solution

The third proportional to 86,011.88 and 132,852.94 is: 205,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,011.88 : 132,852.94 = 132,852.94 : x
  2. Step 2: Convert to fraction form
    86,011.88/132,852.94 = 132,852.94/x
  3. Step 3: Cross multiply
    86,011.88x = 132,852.94 × 132,852.94
  4. Step 4: Simplify right side
    86,011.88x = 17,649,903,002.38
  5. Step 5: Solve for x
    x = 17,649,903,002.38/86,011.88
  6. Step 6: Final answer
    x = 205,203.10

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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.