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Finding the Third Proportional to 58,945 and 90,138

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Solution

The third proportional to 58,945 and 90,138 is: 137,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,945 : 90,138 = 90,138 : x
  2. Step 2: Convert to fraction form
    58,945/90,138 = 90,138/x
  3. Step 3: Cross multiply
    58,945x = 90,138 × 90,138
  4. Step 4: Simplify right side
    58,945x = 8,124,859,044
  5. Step 5: Solve for x
    x = 8,124,859,044/58,945
  6. Step 6: Final answer
    x = 137,837.97

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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.