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Finding the Third Proportional to 69,495.75 and 149,707.13

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Solution

The third proportional to 69,495.75 and 149,707.13 is: 322,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,495.75 : 149,707.13 = 149,707.13 : x
  2. Step 2: Convert to fraction form
    69,495.75/149,707.13 = 149,707.13/x
  3. Step 3: Cross multiply
    69,495.75x = 149,707.13 × 149,707.13
  4. Step 4: Simplify right side
    69,495.75x = 22,412,223,275.77
  5. Step 5: Solve for x
    x = 22,412,223,275.77/69,495.75
  6. Step 6: Final answer
    x = 322,497.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.