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Finding the Third Proportional to 58,919 and 83,305

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Solution

The third proportional to 58,919 and 83,305 is: 117,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,919 : 83,305 = 83,305 : x
  2. Step 2: Convert to fraction form
    58,919/83,305 = 83,305/x
  3. Step 3: Cross multiply
    58,919x = 83,305 × 83,305
  4. Step 4: Simplify right side
    58,919x = 6,939,723,025
  5. Step 5: Solve for x
    x = 6,939,723,025/58,919
  6. Step 6: Final answer
    x = 117,784.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.