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Finding the Third Proportional to 122,206.50 and 186,943.50

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Solution

The third proportional to 122,206.50 and 186,943.50 is: 285,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,206.50 : 186,943.50 = 186,943.50 : x
  2. Step 2: Convert to fraction form
    122,206.50/186,943.50 = 186,943.50/x
  3. Step 3: Cross multiply
    122,206.50x = 186,943.50 × 186,943.50
  4. Step 4: Simplify right side
    122,206.50x = 34,947,872,192.25
  5. Step 5: Solve for x
    x = 34,947,872,192.25/122,206.50
  6. Step 6: Final answer
    x = 285,973.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.