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Finding the Third Proportional to 136,903.50 and 275,841

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Solution

The third proportional to 136,903.50 and 275,841 is: 555,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,903.50 : 275,841 = 275,841 : x
  2. Step 2: Convert to fraction form
    136,903.50/275,841 = 275,841/x
  3. Step 3: Cross multiply
    136,903.50x = 275,841 × 275,841
  4. Step 4: Simplify right side
    136,903.50x = 76,088,257,281
  5. Step 5: Solve for x
    x = 76,088,257,281/136,903.50
  6. Step 6: Final answer
    x = 555,780.22

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.