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Finding the Third Proportional to 68,897.75 and 103,346.50

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Solution

The third proportional to 68,897.75 and 103,346.50 is: 155,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,897.75 : 103,346.50 = 103,346.50 : x
  2. Step 2: Convert to fraction form
    68,897.75/103,346.50 = 103,346.50/x
  3. Step 3: Cross multiply
    68,897.75x = 103,346.50 × 103,346.50
  4. Step 4: Simplify right side
    68,897.75x = 10,680,499,062.25
  5. Step 5: Solve for x
    x = 10,680,499,062.25/68,897.75
  6. Step 6: Final answer
    x = 155,019.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.