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Finding the Third Proportional to 91,816 and 140,455

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Solution

The third proportional to 91,816 and 140,455 is: 214,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,816 : 140,455 = 140,455 : x
  2. Step 2: Convert to fraction form
    91,816/140,455 = 140,455/x
  3. Step 3: Cross multiply
    91,816x = 140,455 × 140,455
  4. Step 4: Simplify right side
    91,816x = 19,727,607,025
  5. Step 5: Solve for x
    x = 19,727,607,025/91,816
  6. Step 6: Final answer
    x = 214,860.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.