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Finding the Third Proportional to 75,886.88 and 117,252.56

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Solution

The third proportional to 75,886.88 and 117,252.56 is: 181,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,886.88 : 117,252.56 = 117,252.56 : x
  2. Step 2: Convert to fraction form
    75,886.88/117,252.56 = 117,252.56/x
  3. Step 3: Cross multiply
    75,886.88x = 117,252.56 × 117,252.56
  4. Step 4: Simplify right side
    75,886.88x = 13,748,163,412.82
  5. Step 5: Solve for x
    x = 13,748,163,412.82/75,886.88
  6. Step 6: Final answer
    x = 181,166.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.