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Finding the Third Proportional to 58,671 and 114,345

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Solution

The third proportional to 58,671 and 114,345 is: 222,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,671 : 114,345 = 114,345 : x
  2. Step 2: Convert to fraction form
    58,671/114,345 = 114,345/x
  3. Step 3: Cross multiply
    58,671x = 114,345 × 114,345
  4. Step 4: Simplify right side
    58,671x = 13,074,779,025
  5. Step 5: Solve for x
    x = 13,074,779,025/58,671
  6. Step 6: Final answer
    x = 222,849.09

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.