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Finding the Third Proportional to 103,288 and 144,632

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Solution

The third proportional to 103,288 and 144,632 is: 202,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,288 : 144,632 = 144,632 : x
  2. Step 2: Convert to fraction form
    103,288/144,632 = 144,632/x
  3. Step 3: Cross multiply
    103,288x = 144,632 × 144,632
  4. Step 4: Simplify right side
    103,288x = 20,918,415,424
  5. Step 5: Solve for x
    x = 20,918,415,424/103,288
  6. Step 6: Final answer
    x = 202,525.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.