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Finding the Third Proportional to 43,218 and 91,580

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Solution

The third proportional to 43,218 and 91,580 is: 194,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,218 : 91,580 = 91,580 : x
  2. Step 2: Convert to fraction form
    43,218/91,580 = 91,580/x
  3. Step 3: Cross multiply
    43,218x = 91,580 × 91,580
  4. Step 4: Simplify right side
    43,218x = 8,386,896,400
  5. Step 5: Solve for x
    x = 8,386,896,400/43,218
  6. Step 6: Final answer
    x = 194,060.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.