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Finding the Third Proportional to 56,309 and 122,352

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Solution

The third proportional to 56,309 and 122,352 is: 265,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,309 : 122,352 = 122,352 : x
  2. Step 2: Convert to fraction form
    56,309/122,352 = 122,352/x
  3. Step 3: Cross multiply
    56,309x = 122,352 × 122,352
  4. Step 4: Simplify right side
    56,309x = 14,970,011,904
  5. Step 5: Solve for x
    x = 14,970,011,904/56,309
  6. Step 6: Final answer
    x = 265,854.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.