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Finding the Third Proportional to 69,703.50 and 148,399.50

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Solution

The third proportional to 69,703.50 and 148,399.50 is: 315,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,703.50 : 148,399.50 = 148,399.50 : x
  2. Step 2: Convert to fraction form
    69,703.50/148,399.50 = 148,399.50/x
  3. Step 3: Cross multiply
    69,703.50x = 148,399.50 × 148,399.50
  4. Step 4: Simplify right side
    69,703.50x = 22,022,411,600.25
  5. Step 5: Solve for x
    x = 22,022,411,600.25/69,703.50
  6. Step 6: Final answer
    x = 315,944.13

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.