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Finding the Third Proportional to 92,026 and 138,502

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Solution

The third proportional to 92,026 and 138,502 is: 208,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,026 : 138,502 = 138,502 : x
  2. Step 2: Convert to fraction form
    92,026/138,502 = 138,502/x
  3. Step 3: Cross multiply
    92,026x = 138,502 × 138,502
  4. Step 4: Simplify right side
    92,026x = 19,182,804,004
  5. Step 5: Solve for x
    x = 19,182,804,004/92,026
  6. Step 6: Final answer
    x = 208,449.83

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