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Finding the Third Proportional to 101,895 and 239,754.50

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Solution

The third proportional to 101,895 and 239,754.50 is: 564,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,895 : 239,754.50 = 239,754.50 : x
  2. Step 2: Convert to fraction form
    101,895/239,754.50 = 239,754.50/x
  3. Step 3: Cross multiply
    101,895x = 239,754.50 × 239,754.50
  4. Step 4: Simplify right side
    101,895x = 57,482,220,270.25
  5. Step 5: Solve for x
    x = 57,482,220,270.25/101,895
  6. Step 6: Final answer
    x = 564,131.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.