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Finding the Third Proportional to 52,768.13 and 77,304.38

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Solution

The third proportional to 52,768.13 and 77,304.38 is: 113,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,768.13 : 77,304.38 = 77,304.38 : x
  2. Step 2: Convert to fraction form
    52,768.13/77,304.38 = 77,304.38/x
  3. Step 3: Cross multiply
    52,768.13x = 77,304.38 × 77,304.38
  4. Step 4: Simplify right side
    52,768.13x = 5,975,966,394.14
  5. Step 5: Solve for x
    x = 5,975,966,394.14/52,768.13
  6. Step 6: Final answer
    x = 113,249.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.