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Finding the Third Proportional to 68,312 and 103,850

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Solution

The third proportional to 68,312 and 103,850 is: 157,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,312 : 103,850 = 103,850 : x
  2. Step 2: Convert to fraction form
    68,312/103,850 = 103,850/x
  3. Step 3: Cross multiply
    68,312x = 103,850 × 103,850
  4. Step 4: Simplify right side
    68,312x = 10,784,822,500
  5. Step 5: Solve for x
    x = 10,784,822,500/68,312
  6. Step 6: Final answer
    x = 157,875.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.