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Finding the Third Proportional to 69,218 and 108,437

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Solution

The third proportional to 69,218 and 108,437 is: 169,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,218 : 108,437 = 108,437 : x
  2. Step 2: Convert to fraction form
    69,218/108,437 = 108,437/x
  3. Step 3: Cross multiply
    69,218x = 108,437 × 108,437
  4. Step 4: Simplify right side
    69,218x = 11,758,582,969
  5. Step 5: Solve for x
    x = 11,758,582,969/69,218
  6. Step 6: Final answer
    x = 169,877.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.