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Finding the Third Proportional to 58,898 and 91,299

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Solution

The third proportional to 58,898 and 91,299 is: 141,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,898 : 91,299 = 91,299 : x
  2. Step 2: Convert to fraction form
    58,898/91,299 = 91,299/x
  3. Step 3: Cross multiply
    58,898x = 91,299 × 91,299
  4. Step 4: Simplify right side
    58,898x = 8,335,507,401
  5. Step 5: Solve for x
    x = 8,335,507,401/58,898
  6. Step 6: Final answer
    x = 141,524.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.