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Finding the Third Proportional to 106,470 and 164,829

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Solution

The third proportional to 106,470 and 164,829 is: 255,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,470 : 164,829 = 164,829 : x
  2. Step 2: Convert to fraction form
    106,470/164,829 = 164,829/x
  3. Step 3: Cross multiply
    106,470x = 164,829 × 164,829
  4. Step 4: Simplify right side
    106,470x = 27,168,599,241
  5. Step 5: Solve for x
    x = 27,168,599,241/106,470
  6. Step 6: Final answer
    x = 255,176.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.