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Finding the Third Proportional to 42,354 and 56,619

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Solution

The third proportional to 42,354 and 56,619 is: 75,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,354 : 56,619 = 56,619 : x
  2. Step 2: Convert to fraction form
    42,354/56,619 = 56,619/x
  3. Step 3: Cross multiply
    42,354x = 56,619 × 56,619
  4. Step 4: Simplify right side
    42,354x = 3,205,711,161
  5. Step 5: Solve for x
    x = 3,205,711,161/42,354
  6. Step 6: Final answer
    x = 75,688.51

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.