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Finding the Third Proportional to 101,241 and 160,903.50

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Solution

The third proportional to 101,241 and 160,903.50 is: 255,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,241 : 160,903.50 = 160,903.50 : x
  2. Step 2: Convert to fraction form
    101,241/160,903.50 = 160,903.50/x
  3. Step 3: Cross multiply
    101,241x = 160,903.50 × 160,903.50
  4. Step 4: Simplify right side
    101,241x = 25,889,936,312.25
  5. Step 5: Solve for x
    x = 25,889,936,312.25/101,241
  6. Step 6: Final answer
    x = 255,725.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.