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Finding the Third Proportional to 121,027.50 and 186,643.50

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Solution

The third proportional to 121,027.50 and 186,643.50 is: 287,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,027.50 : 186,643.50 = 186,643.50 : x
  2. Step 2: Convert to fraction form
    121,027.50/186,643.50 = 186,643.50/x
  3. Step 3: Cross multiply
    121,027.50x = 186,643.50 × 186,643.50
  4. Step 4: Simplify right side
    121,027.50x = 34,835,796,092.25
  5. Step 5: Solve for x
    x = 34,835,796,092.25/121,027.50
  6. Step 6: Final answer
    x = 287,833.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.