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Finding the Third Proportional to 137,139 and 299,910

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Solution

The third proportional to 137,139 and 299,910 is: 655,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,139 : 299,910 = 299,910 : x
  2. Step 2: Convert to fraction form
    137,139/299,910 = 299,910/x
  3. Step 3: Cross multiply
    137,139x = 299,910 × 299,910
  4. Step 4: Simplify right side
    137,139x = 89,946,008,100
  5. Step 5: Solve for x
    x = 89,946,008,100/137,139
  6. Step 6: Final answer
    x = 655,874.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.