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Finding the Third Proportional to 69,042 and 101,296.50

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Solution

The third proportional to 69,042 and 101,296.50 is: 148,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,042 : 101,296.50 = 101,296.50 : x
  2. Step 2: Convert to fraction form
    69,042/101,296.50 = 101,296.50/x
  3. Step 3: Cross multiply
    69,042x = 101,296.50 × 101,296.50
  4. Step 4: Simplify right side
    69,042x = 10,260,980,912.25
  5. Step 5: Solve for x
    x = 10,260,980,912.25/69,042
  6. Step 6: Final answer
    x = 148,619.40

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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.