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Finding the Third Proportional to 42,968 and 64,764

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Solution

The third proportional to 42,968 and 64,764 is: 97,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,968 : 64,764 = 64,764 : x
  2. Step 2: Convert to fraction form
    42,968/64,764 = 64,764/x
  3. Step 3: Cross multiply
    42,968x = 64,764 × 64,764
  4. Step 4: Simplify right side
    42,968x = 4,194,375,696
  5. Step 5: Solve for x
    x = 4,194,375,696/42,968
  6. Step 6: Final answer
    x = 97,616.27

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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.