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Finding the Third Proportional to 44,544 and 95,784

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Solution

The third proportional to 44,544 and 95,784 is: 205,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,544 : 95,784 = 95,784 : x
  2. Step 2: Convert to fraction form
    44,544/95,784 = 95,784/x
  3. Step 3: Cross multiply
    44,544x = 95,784 × 95,784
  4. Step 4: Simplify right side
    44,544x = 9,174,574,656
  5. Step 5: Solve for x
    x = 9,174,574,656/44,544
  6. Step 6: Final answer
    x = 205,966.56

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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.