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Finding the Third Proportional to 90,560 and 120,774

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Solution

The third proportional to 90,560 and 120,774 is: 161,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,560 : 120,774 = 120,774 : x
  2. Step 2: Convert to fraction form
    90,560/120,774 = 120,774/x
  3. Step 3: Cross multiply
    90,560x = 120,774 × 120,774
  4. Step 4: Simplify right side
    90,560x = 14,586,359,076
  5. Step 5: Solve for x
    x = 14,586,359,076/90,560
  6. Step 6: Final answer
    x = 161,068.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.