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Finding the Third Proportional to 44,313 and 68,111

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Solution

The third proportional to 44,313 and 68,111 is: 104,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,313 : 68,111 = 68,111 : x
  2. Step 2: Convert to fraction form
    44,313/68,111 = 68,111/x
  3. Step 3: Cross multiply
    44,313x = 68,111 × 68,111
  4. Step 4: Simplify right side
    44,313x = 4,639,108,321
  5. Step 5: Solve for x
    x = 4,639,108,321/44,313
  6. Step 6: Final answer
    x = 104,689.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.