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Finding the Third Proportional to 62,784 and 94,816

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Solution

The third proportional to 62,784 and 94,816 is: 143,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,784 : 94,816 = 94,816 : x
  2. Step 2: Convert to fraction form
    62,784/94,816 = 94,816/x
  3. Step 3: Cross multiply
    62,784x = 94,816 × 94,816
  4. Step 4: Simplify right side
    62,784x = 8,990,073,856
  5. Step 5: Solve for x
    x = 8,990,073,856/62,784
  6. Step 6: Final answer
    x = 143,190.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.