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Finding the Third Proportional to 35,088 and 77,088

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Solution

The third proportional to 35,088 and 77,088 is: 169,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,088 : 77,088 = 77,088 : x
  2. Step 2: Convert to fraction form
    35,088/77,088 = 77,088/x
  3. Step 3: Cross multiply
    35,088x = 77,088 × 77,088
  4. Step 4: Simplify right side
    35,088x = 5,942,559,744
  5. Step 5: Solve for x
    x = 5,942,559,744/35,088
  6. Step 6: Final answer
    x = 169,361.60

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Why These Related Problems?

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