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Finding the Third Proportional to 106,639 and 162,262

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Solution

The third proportional to 106,639 and 162,262 is: 246,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,639 : 162,262 = 162,262 : x
  2. Step 2: Convert to fraction form
    106,639/162,262 = 162,262/x
  3. Step 3: Cross multiply
    106,639x = 162,262 × 162,262
  4. Step 4: Simplify right side
    106,639x = 26,328,956,644
  5. Step 5: Solve for x
    x = 26,328,956,644/106,639
  6. Step 6: Final answer
    x = 246,898.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.