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Finding the Third Proportional to 58,395 and 119,706

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Solution

The third proportional to 58,395 and 119,706 is: 245,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,395 : 119,706 = 119,706 : x
  2. Step 2: Convert to fraction form
    58,395/119,706 = 119,706/x
  3. Step 3: Cross multiply
    58,395x = 119,706 × 119,706
  4. Step 4: Simplify right side
    58,395x = 14,329,526,436
  5. Step 5: Solve for x
    x = 14,329,526,436/58,395
  6. Step 6: Final answer
    x = 245,389.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.