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Finding the Third Proportional to 56,851 and 79,522

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Solution

The third proportional to 56,851 and 79,522 is: 111,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,851 : 79,522 = 79,522 : x
  2. Step 2: Convert to fraction form
    56,851/79,522 = 79,522/x
  3. Step 3: Cross multiply
    56,851x = 79,522 × 79,522
  4. Step 4: Simplify right side
    56,851x = 6,323,748,484
  5. Step 5: Solve for x
    x = 6,323,748,484/56,851
  6. Step 6: Final answer
    x = 111,233.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.