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Finding the Third Proportional to 75,565.41 and 115,159.22

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Solution

The third proportional to 75,565.41 and 115,159.22 is: 175,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,565.41 : 115,159.22 = 115,159.22 : x
  2. Step 2: Convert to fraction form
    75,565.41/115,159.22 = 115,159.22/x
  3. Step 3: Cross multiply
    75,565.41x = 115,159.22 × 115,159.22
  4. Step 4: Simplify right side
    75,565.41x = 13,261,645,663.11
  5. Step 5: Solve for x
    x = 13,261,645,663.11/75,565.41
  6. Step 6: Final answer
    x = 175,498.90

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