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Finding the Third Proportional to 59,674 and 83,652

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Solution

The third proportional to 59,674 and 83,652 is: 117,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,674 : 83,652 = 83,652 : x
  2. Step 2: Convert to fraction form
    59,674/83,652 = 83,652/x
  3. Step 3: Cross multiply
    59,674x = 83,652 × 83,652
  4. Step 4: Simplify right side
    59,674x = 6,997,657,104
  5. Step 5: Solve for x
    x = 6,997,657,104/59,674
  6. Step 6: Final answer
    x = 117,264.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.