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Finding the Third Proportional to 34,978 and 75,560

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Solution

The third proportional to 34,978 and 75,560 is: 163,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,978 : 75,560 = 75,560 : x
  2. Step 2: Convert to fraction form
    34,978/75,560 = 75,560/x
  3. Step 3: Cross multiply
    34,978x = 75,560 × 75,560
  4. Step 4: Simplify right side
    34,978x = 5,709,313,600
  5. Step 5: Solve for x
    x = 5,709,313,600/34,978
  6. Step 6: Final answer
    x = 163,225.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.