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Finding the Third Proportional to 67,387 and 105,705

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Solution

The third proportional to 67,387 and 105,705 is: 165,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,387 : 105,705 = 105,705 : x
  2. Step 2: Convert to fraction form
    67,387/105,705 = 105,705/x
  3. Step 3: Cross multiply
    67,387x = 105,705 × 105,705
  4. Step 4: Simplify right side
    67,387x = 11,173,547,025
  5. Step 5: Solve for x
    x = 11,173,547,025/67,387
  6. Step 6: Final answer
    x = 165,811.61

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.