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Finding the Third Proportional to 103,920.25 and 152,179

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Solution

The third proportional to 103,920.25 and 152,179 is: 222,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,920.25 : 152,179 = 152,179 : x
  2. Step 2: Convert to fraction form
    103,920.25/152,179 = 152,179/x
  3. Step 3: Cross multiply
    103,920.25x = 152,179 × 152,179
  4. Step 4: Simplify right side
    103,920.25x = 23,158,448,041
  5. Step 5: Solve for x
    x = 23,158,448,041/103,920.25
  6. Step 6: Final answer
    x = 222,848.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.