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Finding the Third Proportional to 60,696 and 123,799.50

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Solution

The third proportional to 60,696 and 123,799.50 is: 252,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,696 : 123,799.50 = 123,799.50 : x
  2. Step 2: Convert to fraction form
    60,696/123,799.50 = 123,799.50/x
  3. Step 3: Cross multiply
    60,696x = 123,799.50 × 123,799.50
  4. Step 4: Simplify right side
    60,696x = 15,326,316,200.25
  5. Step 5: Solve for x
    x = 15,326,316,200.25/60,696
  6. Step 6: Final answer
    x = 252,509.49

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.