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Finding the Third Proportional to 121,089.94 and 186,744.66

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Solution

The third proportional to 121,089.94 and 186,744.66 is: 287,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,089.94 : 186,744.66 = 186,744.66 : x
  2. Step 2: Convert to fraction form
    121,089.94/186,744.66 = 186,744.66/x
  3. Step 3: Cross multiply
    121,089.94x = 186,744.66 × 186,744.66
  4. Step 4: Simplify right side
    121,089.94x = 34,873,566,637.93
  5. Step 5: Solve for x
    x = 34,873,566,637.93/121,089.94
  6. Step 6: Final answer
    x = 287,997.23

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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.