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Finding the Third Proportional to 52,655 and 76,209

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Solution

The third proportional to 52,655 and 76,209 is: 110,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,655 : 76,209 = 76,209 : x
  2. Step 2: Convert to fraction form
    52,655/76,209 = 76,209/x
  3. Step 3: Cross multiply
    52,655x = 76,209 × 76,209
  4. Step 4: Simplify right side
    52,655x = 5,807,811,681
  5. Step 5: Solve for x
    x = 5,807,811,681/52,655
  6. Step 6: Final answer
    x = 110,299.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.