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Finding the Third Proportional to 137,770.88 and 210,610.13

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Solution

The third proportional to 137,770.88 and 210,610.13 is: 321,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,770.88 : 210,610.13 = 210,610.13 : x
  2. Step 2: Convert to fraction form
    137,770.88/210,610.13 = 210,610.13/x
  3. Step 3: Cross multiply
    137,770.88x = 210,610.13 × 210,610.13
  4. Step 4: Simplify right side
    137,770.88x = 44,356,624,752.52
  5. Step 5: Solve for x
    x = 44,356,624,752.52/137,770.88
  6. Step 6: Final answer
    x = 321,959.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.