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Finding the Third Proportional to 81,338 and 121,527

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Solution

The third proportional to 81,338 and 121,527 is: 181,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,338 : 121,527 = 121,527 : x
  2. Step 2: Convert to fraction form
    81,338/121,527 = 121,527/x
  3. Step 3: Cross multiply
    81,338x = 121,527 × 121,527
  4. Step 4: Simplify right side
    81,338x = 14,768,811,729
  5. Step 5: Solve for x
    x = 14,768,811,729/81,338
  6. Step 6: Final answer
    x = 181,573.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.