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Finding the Third Proportional to 121,034 and 186,653

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Solution

The third proportional to 121,034 and 186,653 is: 287,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,034 : 186,653 = 186,653 : x
  2. Step 2: Convert to fraction form
    121,034/186,653 = 186,653/x
  3. Step 3: Cross multiply
    121,034x = 186,653 × 186,653
  4. Step 4: Simplify right side
    121,034x = 34,839,342,409
  5. Step 5: Solve for x
    x = 34,839,342,409/121,034
  6. Step 6: Final answer
    x = 287,847.57

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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.