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Finding the Third Proportional to 56,537 and 121,822

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Solution

The third proportional to 56,537 and 121,822 is: 262,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,537 : 121,822 = 121,822 : x
  2. Step 2: Convert to fraction form
    56,537/121,822 = 121,822/x
  3. Step 3: Cross multiply
    56,537x = 121,822 × 121,822
  4. Step 4: Simplify right side
    56,537x = 14,840,599,684
  5. Step 5: Solve for x
    x = 14,840,599,684/56,537
  6. Step 6: Final answer
    x = 262,493.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.