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Finding the Third Proportional to 106,428 and 154,962

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Solution

The third proportional to 106,428 and 154,962 is: 225,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,428 : 154,962 = 154,962 : x
  2. Step 2: Convert to fraction form
    106,428/154,962 = 154,962/x
  3. Step 3: Cross multiply
    106,428x = 154,962 × 154,962
  4. Step 4: Simplify right side
    106,428x = 24,013,221,444
  5. Step 5: Solve for x
    x = 24,013,221,444/106,428
  6. Step 6: Final answer
    x = 225,628.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.