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Finding the Third Proportional to 42,898 and 64,619

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Solution

The third proportional to 42,898 and 64,619 is: 97,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,898 : 64,619 = 64,619 : x
  2. Step 2: Convert to fraction form
    42,898/64,619 = 64,619/x
  3. Step 3: Cross multiply
    42,898x = 64,619 × 64,619
  4. Step 4: Simplify right side
    42,898x = 4,175,615,161
  5. Step 5: Solve for x
    x = 4,175,615,161/42,898
  6. Step 6: Final answer
    x = 97,338.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.