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Finding the Third Proportional to 59,177 and 83,237

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Solution

The third proportional to 59,177 and 83,237 is: 117,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,177 : 83,237 = 83,237 : x
  2. Step 2: Convert to fraction form
    59,177/83,237 = 83,237/x
  3. Step 3: Cross multiply
    59,177x = 83,237 × 83,237
  4. Step 4: Simplify right side
    59,177x = 6,928,398,169
  5. Step 5: Solve for x
    x = 6,928,398,169/59,177
  6. Step 6: Final answer
    x = 117,079.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.