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Finding the Third Proportional to 106,072 and 124,206

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Solution

The third proportional to 106,072 and 124,206 is: 145,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,072 : 124,206 = 124,206 : x
  2. Step 2: Convert to fraction form
    106,072/124,206 = 124,206/x
  3. Step 3: Cross multiply
    106,072x = 124,206 × 124,206
  4. Step 4: Simplify right side
    106,072x = 15,427,130,436
  5. Step 5: Solve for x
    x = 15,427,130,436/106,072
  6. Step 6: Final answer
    x = 145,440.18

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.