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Finding the Third Proportional to 121,032 and 186,652

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Solution

The third proportional to 121,032 and 186,652 is: 287,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,032 : 186,652 = 186,652 : x
  2. Step 2: Convert to fraction form
    121,032/186,652 = 186,652/x
  3. Step 3: Cross multiply
    121,032x = 186,652 × 186,652
  4. Step 4: Simplify right side
    121,032x = 34,838,969,104
  5. Step 5: Solve for x
    x = 34,838,969,104/121,032
  6. Step 6: Final answer
    x = 287,849.24

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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.