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Finding the Third Proportional to 68,088 and 105,363

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Solution

The third proportional to 68,088 and 105,363 is: 163,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,088 : 105,363 = 105,363 : x
  2. Step 2: Convert to fraction form
    68,088/105,363 = 105,363/x
  3. Step 3: Cross multiply
    68,088x = 105,363 × 105,363
  4. Step 4: Simplify right side
    68,088x = 11,101,361,769
  5. Step 5: Solve for x
    x = 11,101,361,769/68,088
  6. Step 6: Final answer
    x = 163,044.32

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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.