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Finding the Third Proportional to 103,896 and 155,841

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Solution

The third proportional to 103,896 and 155,841 is: 233,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,896 : 155,841 = 155,841 : x
  2. Step 2: Convert to fraction form
    103,896/155,841 = 155,841/x
  3. Step 3: Cross multiply
    103,896x = 155,841 × 155,841
  4. Step 4: Simplify right side
    103,896x = 24,286,417,281
  5. Step 5: Solve for x
    x = 24,286,417,281/103,896
  6. Step 6: Final answer
    x = 233,757.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.