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Finding the Third Proportional to 69,015 and 101,335.50

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Solution

The third proportional to 69,015 and 101,335.50 is: 148,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,015 : 101,335.50 = 101,335.50 : x
  2. Step 2: Convert to fraction form
    69,015/101,335.50 = 101,335.50/x
  3. Step 3: Cross multiply
    69,015x = 101,335.50 × 101,335.50
  4. Step 4: Simplify right side
    69,015x = 10,268,883,560.25
  5. Step 5: Solve for x
    x = 10,268,883,560.25/69,015
  6. Step 6: Final answer
    x = 148,792.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.