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Finding the Third Proportional to 86,973.75 and 132,283.13

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Solution

The third proportional to 86,973.75 and 132,283.13 is: 201,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,973.75 : 132,283.13 = 132,283.13 : x
  2. Step 2: Convert to fraction form
    86,973.75/132,283.13 = 132,283.13/x
  3. Step 3: Cross multiply
    86,973.75x = 132,283.13 × 132,283.13
  4. Step 4: Simplify right side
    86,973.75x = 17,498,825,159.77
  5. Step 5: Solve for x
    x = 17,498,825,159.77/86,973.75
  6. Step 6: Final answer
    x = 201,196.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.