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Finding the Third Proportional to 92,462 and 139,347

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Solution

The third proportional to 92,462 and 139,347 is: 210,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,462 : 139,347 = 139,347 : x
  2. Step 2: Convert to fraction form
    92,462/139,347 = 139,347/x
  3. Step 3: Cross multiply
    92,462x = 139,347 × 139,347
  4. Step 4: Simplify right side
    92,462x = 19,417,586,409
  5. Step 5: Solve for x
    x = 19,417,586,409/92,462
  6. Step 6: Final answer
    x = 210,006.13

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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.