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Finding the Third Proportional to 106,123 and 160,550

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Solution

The third proportional to 106,123 and 160,550 is: 242,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,123 : 160,550 = 160,550 : x
  2. Step 2: Convert to fraction form
    106,123/160,550 = 160,550/x
  3. Step 3: Cross multiply
    106,123x = 160,550 × 160,550
  4. Step 4: Simplify right side
    106,123x = 25,776,302,500
  5. Step 5: Solve for x
    x = 25,776,302,500/106,123
  6. Step 6: Final answer
    x = 242,890.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.