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Finding the Third Proportional to 115,587.75 and 181,368.75

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Solution

The third proportional to 115,587.75 and 181,368.75 is: 284,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,587.75 : 181,368.75 = 181,368.75 : x
  2. Step 2: Convert to fraction form
    115,587.75/181,368.75 = 181,368.75/x
  3. Step 3: Cross multiply
    115,587.75x = 181,368.75 × 181,368.75
  4. Step 4: Simplify right side
    115,587.75x = 32,894,623,476.56
  5. Step 5: Solve for x
    x = 32,894,623,476.56/115,587.75
  6. Step 6: Final answer
    x = 284,585.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.