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Finding the Third Proportional to 106,436 and 158,730

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Solution

The third proportional to 106,436 and 158,730 is: 236,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,436 : 158,730 = 158,730 : x
  2. Step 2: Convert to fraction form
    106,436/158,730 = 158,730/x
  3. Step 3: Cross multiply
    106,436x = 158,730 × 158,730
  4. Step 4: Simplify right side
    106,436x = 25,195,212,900
  5. Step 5: Solve for x
    x = 25,195,212,900/106,436
  6. Step 6: Final answer
    x = 236,717.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.