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Finding the Third Proportional to 42,318 and 65,737.50

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Solution

The third proportional to 42,318 and 65,737.50 is: 102,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,318 : 65,737.50 = 65,737.50 : x
  2. Step 2: Convert to fraction form
    42,318/65,737.50 = 65,737.50/x
  3. Step 3: Cross multiply
    42,318x = 65,737.50 × 65,737.50
  4. Step 4: Simplify right side
    42,318x = 4,321,418,906.25
  5. Step 5: Solve for x
    x = 4,321,418,906.25/42,318
  6. Step 6: Final answer
    x = 102,117.75

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