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Finding the Third Proportional to 50,702 and 76,209

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Solution

The third proportional to 50,702 and 76,209 is: 114,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,702 : 76,209 = 76,209 : x
  2. Step 2: Convert to fraction form
    50,702/76,209 = 76,209/x
  3. Step 3: Cross multiply
    50,702x = 76,209 × 76,209
  4. Step 4: Simplify right side
    50,702x = 5,807,811,681
  5. Step 5: Solve for x
    x = 5,807,811,681/50,702
  6. Step 6: Final answer
    x = 114,547.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.