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Finding the Third Proportional to 34,968 and 77,040

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Solution

The third proportional to 34,968 and 77,040 is: 169,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,968 : 77,040 = 77,040 : x
  2. Step 2: Convert to fraction form
    34,968/77,040 = 77,040/x
  3. Step 3: Cross multiply
    34,968x = 77,040 × 77,040
  4. Step 4: Simplify right side
    34,968x = 5,935,161,600
  5. Step 5: Solve for x
    x = 5,935,161,600/34,968
  6. Step 6: Final answer
    x = 169,731.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.