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Finding the Third Proportional to 50,170.50 and 77,726.25

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Solution

The third proportional to 50,170.50 and 77,726.25 is: 120,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,170.50 : 77,726.25 = 77,726.25 : x
  2. Step 2: Convert to fraction form
    50,170.50/77,726.25 = 77,726.25/x
  3. Step 3: Cross multiply
    50,170.50x = 77,726.25 × 77,726.25
  4. Step 4: Simplify right side
    50,170.50x = 6,041,369,939.06
  5. Step 5: Solve for x
    x = 6,041,369,939.06/50,170.50
  6. Step 6: Final answer
    x = 120,416.78

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1.5x scale

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.