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Finding the Third Proportional to 121,541.75 and 192,302.50

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Solution

The third proportional to 121,541.75 and 192,302.50 is: 304,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,541.75 : 192,302.50 = 192,302.50 : x
  2. Step 2: Convert to fraction form
    121,541.75/192,302.50 = 192,302.50/x
  3. Step 3: Cross multiply
    121,541.75x = 192,302.50 × 192,302.50
  4. Step 4: Simplify right side
    121,541.75x = 36,980,251,506.25
  5. Step 5: Solve for x
    x = 36,980,251,506.25/121,541.75
  6. Step 6: Final answer
    x = 304,259.66

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.