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Finding the Third Proportional to 124,206.50 and 166,284

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Solution

The third proportional to 124,206.50 and 166,284 is: 222,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,206.50 : 166,284 = 166,284 : x
  2. Step 2: Convert to fraction form
    124,206.50/166,284 = 166,284/x
  3. Step 3: Cross multiply
    124,206.50x = 166,284 × 166,284
  4. Step 4: Simplify right side
    124,206.50x = 27,650,368,656
  5. Step 5: Solve for x
    x = 27,650,368,656/124,206.50
  6. Step 6: Final answer
    x = 222,616.12

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.