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Finding the Third Proportional to 122,364 and 164,693.25

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Solution

The third proportional to 122,364 and 164,693.25 is: 221,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,364 : 164,693.25 = 164,693.25 : x
  2. Step 2: Convert to fraction form
    122,364/164,693.25 = 164,693.25/x
  3. Step 3: Cross multiply
    122,364x = 164,693.25 × 164,693.25
  4. Step 4: Simplify right side
    122,364x = 27,123,866,595.56
  5. Step 5: Solve for x
    x = 27,123,866,595.56/122,364
  6. Step 6: Final answer
    x = 221,665.41

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.