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Finding the Third Proportional to 106,582.50 and 153,981

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Solution

The third proportional to 106,582.50 and 153,981 is: 222,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,582.50 : 153,981 = 153,981 : x
  2. Step 2: Convert to fraction form
    106,582.50/153,981 = 153,981/x
  3. Step 3: Cross multiply
    106,582.50x = 153,981 × 153,981
  4. Step 4: Simplify right side
    106,582.50x = 23,710,148,361
  5. Step 5: Solve for x
    x = 23,710,148,361/106,582.50
  6. Step 6: Final answer
    x = 222,458.17

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.