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Finding the Third Proportional to 106,431 and 158,724

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Solution

The third proportional to 106,431 and 158,724 is: 236,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,431 : 158,724 = 158,724 : x
  2. Step 2: Convert to fraction form
    106,431/158,724 = 158,724/x
  3. Step 3: Cross multiply
    106,431x = 158,724 × 158,724
  4. Step 4: Simplify right side
    106,431x = 25,193,308,176
  5. Step 5: Solve for x
    x = 25,193,308,176/106,431
  6. Step 6: Final answer
    x = 236,710.25

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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.