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Finding the Third Proportional to 58,876 and 130,898

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Solution

The third proportional to 58,876 and 130,898 is: 291,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,876 : 130,898 = 130,898 : x
  2. Step 2: Convert to fraction form
    58,876/130,898 = 130,898/x
  3. Step 3: Cross multiply
    58,876x = 130,898 × 130,898
  4. Step 4: Simplify right side
    58,876x = 17,134,286,404
  5. Step 5: Solve for x
    x = 17,134,286,404/58,876
  6. Step 6: Final answer
    x = 291,023.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.