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Finding the Third Proportional to 68,564 and 105,957

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Solution

The third proportional to 68,564 and 105,957 is: 163,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,564 : 105,957 = 105,957 : x
  2. Step 2: Convert to fraction form
    68,564/105,957 = 105,957/x
  3. Step 3: Cross multiply
    68,564x = 105,957 × 105,957
  4. Step 4: Simplify right side
    68,564x = 11,226,885,849
  5. Step 5: Solve for x
    x = 11,226,885,849/68,564
  6. Step 6: Final answer
    x = 163,743.16

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Why These Related Problems?

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