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Finding the Third Proportional to 55,944 and 87,768

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Solution

The third proportional to 55,944 and 87,768 is: 137,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,944 : 87,768 = 87,768 : x
  2. Step 2: Convert to fraction form
    55,944/87,768 = 87,768/x
  3. Step 3: Cross multiply
    55,944x = 87,768 × 87,768
  4. Step 4: Simplify right side
    55,944x = 7,703,221,824
  5. Step 5: Solve for x
    x = 7,703,221,824/55,944
  6. Step 6: Final answer
    x = 137,695.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.