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Finding the Third Proportional to 43,312 and 67,702

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Solution

The third proportional to 43,312 and 67,702 is: 105,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,312 : 67,702 = 67,702 : x
  2. Step 2: Convert to fraction form
    43,312/67,702 = 67,702/x
  3. Step 3: Cross multiply
    43,312x = 67,702 × 67,702
  4. Step 4: Simplify right side
    43,312x = 4,583,560,804
  5. Step 5: Solve for x
    x = 4,583,560,804/43,312
  6. Step 6: Final answer
    x = 105,826.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.