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Finding the Third Proportional to 93,381 and 144,834

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Solution

The third proportional to 93,381 and 144,834 is: 224,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,381 : 144,834 = 144,834 : x
  2. Step 2: Convert to fraction form
    93,381/144,834 = 144,834/x
  3. Step 3: Cross multiply
    93,381x = 144,834 × 144,834
  4. Step 4: Simplify right side
    93,381x = 20,976,887,556
  5. Step 5: Solve for x
    x = 20,976,887,556/93,381
  6. Step 6: Final answer
    x = 224,637.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.