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Finding the Third Proportional to 57,701 and 130,217

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Solution

The third proportional to 57,701 and 130,217 is: 293,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,701 : 130,217 = 130,217 : x
  2. Step 2: Convert to fraction form
    57,701/130,217 = 130,217/x
  3. Step 3: Cross multiply
    57,701x = 130,217 × 130,217
  4. Step 4: Simplify right side
    57,701x = 16,956,467,089
  5. Step 5: Solve for x
    x = 16,956,467,089/57,701
  6. Step 6: Final answer
    x = 293,867.82

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.