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Finding the Third Proportional to 56,338 and 82,339

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Solution

The third proportional to 56,338 and 82,339 is: 120,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,338 : 82,339 = 82,339 : x
  2. Step 2: Convert to fraction form
    56,338/82,339 = 82,339/x
  3. Step 3: Cross multiply
    56,338x = 82,339 × 82,339
  4. Step 4: Simplify right side
    56,338x = 6,779,710,921
  5. Step 5: Solve for x
    x = 6,779,710,921/56,338
  6. Step 6: Final answer
    x = 120,339.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.