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Finding the Third Proportional to 55,669 and 86,209

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Solution

The third proportional to 55,669 and 86,209 is: 133,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,669 : 86,209 = 86,209 : x
  2. Step 2: Convert to fraction form
    55,669/86,209 = 86,209/x
  3. Step 3: Cross multiply
    55,669x = 86,209 × 86,209
  4. Step 4: Simplify right side
    55,669x = 7,431,991,681
  5. Step 5: Solve for x
    x = 7,431,991,681/55,669
  6. Step 6: Final answer
    x = 133,503.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.