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Finding the Third Proportional to 92,725 and 139,023

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Solution

The third proportional to 92,725 and 139,023 is: 208,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,725 : 139,023 = 139,023 : x
  2. Step 2: Convert to fraction form
    92,725/139,023 = 139,023/x
  3. Step 3: Cross multiply
    92,725x = 139,023 × 139,023
  4. Step 4: Simplify right side
    92,725x = 19,327,394,529
  5. Step 5: Solve for x
    x = 19,327,394,529/92,725
  6. Step 6: Final answer
    x = 208,437.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.