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Finding the Third Proportional to 61,830 and 87,345

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Solution

The third proportional to 61,830 and 87,345 is: 123,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,830 : 87,345 = 87,345 : x
  2. Step 2: Convert to fraction form
    61,830/87,345 = 87,345/x
  3. Step 3: Cross multiply
    61,830x = 87,345 × 87,345
  4. Step 4: Simplify right side
    61,830x = 7,629,149,025
  5. Step 5: Solve for x
    x = 7,629,149,025/61,830
  6. Step 6: Final answer
    x = 123,389.12

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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.