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Finding the Third Proportional to 92,864 and 139,298

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Solution

The third proportional to 92,864 and 139,298 is: 208,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,864 : 139,298 = 139,298 : x
  2. Step 2: Convert to fraction form
    92,864/139,298 = 139,298/x
  3. Step 3: Cross multiply
    92,864x = 139,298 × 139,298
  4. Step 4: Simplify right side
    92,864x = 19,403,932,804
  5. Step 5: Solve for x
    x = 19,403,932,804/92,864
  6. Step 6: Final answer
    x = 208,950.00

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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.