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Finding the Third Proportional to 114,726.38 and 165,240

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Solution

The third proportional to 114,726.38 and 165,240 is: 237,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,726.38 : 165,240 = 165,240 : x
  2. Step 2: Convert to fraction form
    114,726.38/165,240 = 165,240/x
  3. Step 3: Cross multiply
    114,726.38x = 165,240 × 165,240
  4. Step 4: Simplify right side
    114,726.38x = 27,304,257,600
  5. Step 5: Solve for x
    x = 27,304,257,600/114,726.38
  6. Step 6: Final answer
    x = 237,994.60

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.