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Finding the Third Proportional to 93,415 and 140,218

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Solution

The third proportional to 93,415 and 140,218 is: 210,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,415 : 140,218 = 140,218 : x
  2. Step 2: Convert to fraction form
    93,415/140,218 = 140,218/x
  3. Step 3: Cross multiply
    93,415x = 140,218 × 140,218
  4. Step 4: Simplify right side
    93,415x = 19,661,087,524
  5. Step 5: Solve for x
    x = 19,661,087,524/93,415
  6. Step 6: Final answer
    x = 210,470.35

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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.