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Finding the Third Proportional to 60,926 and 92,037

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Solution

The third proportional to 60,926 and 92,037 is: 139,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,926 : 92,037 = 92,037 : x
  2. Step 2: Convert to fraction form
    60,926/92,037 = 92,037/x
  3. Step 3: Cross multiply
    60,926x = 92,037 × 92,037
  4. Step 4: Simplify right side
    60,926x = 8,470,809,369
  5. Step 5: Solve for x
    x = 8,470,809,369/60,926
  6. Step 6: Final answer
    x = 139,034.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.