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Finding the Third Proportional to 69,707.25 and 108,090

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Solution

The third proportional to 69,707.25 and 108,090 is: 167,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,707.25 : 108,090 = 108,090 : x
  2. Step 2: Convert to fraction form
    69,707.25/108,090 = 108,090/x
  3. Step 3: Cross multiply
    69,707.25x = 108,090 × 108,090
  4. Step 4: Simplify right side
    69,707.25x = 11,683,448,100
  5. Step 5: Solve for x
    x = 11,683,448,100/69,707.25
  6. Step 6: Final answer
    x = 167,607.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.