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Finding the Third Proportional to 92,167 and 139,095

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Solution

The third proportional to 92,167 and 139,095 is: 209,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,167 : 139,095 = 139,095 : x
  2. Step 2: Convert to fraction form
    92,167/139,095 = 139,095/x
  3. Step 3: Cross multiply
    92,167x = 139,095 × 139,095
  4. Step 4: Simplify right side
    92,167x = 19,347,419,025
  5. Step 5: Solve for x
    x = 19,347,419,025/92,167
  6. Step 6: Final answer
    x = 209,916.99

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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.