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Finding the Third Proportional to 107,838 and 157,896

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Solution

The third proportional to 107,838 and 157,896 is: 231,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,838 : 157,896 = 157,896 : x
  2. Step 2: Convert to fraction form
    107,838/157,896 = 157,896/x
  3. Step 3: Cross multiply
    107,838x = 157,896 × 157,896
  4. Step 4: Simplify right side
    107,838x = 24,931,146,816
  5. Step 5: Solve for x
    x = 24,931,146,816/107,838
  6. Step 6: Final answer
    x = 231,190.74

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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.