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Finding the Third Proportional to 50,012.50 and 77,415

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Solution

The third proportional to 50,012.50 and 77,415 is: 119,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,012.50 : 77,415 = 77,415 : x
  2. Step 2: Convert to fraction form
    50,012.50/77,415 = 77,415/x
  3. Step 3: Cross multiply
    50,012.50x = 77,415 × 77,415
  4. Step 4: Simplify right side
    50,012.50x = 5,993,082,225
  5. Step 5: Solve for x
    x = 5,993,082,225/50,012.50
  6. Step 6: Final answer
    x = 119,831.69

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