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Finding the Third Proportional to 58,026 and 92,223

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Solution

The third proportional to 58,026 and 92,223 is: 146,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,026 : 92,223 = 92,223 : x
  2. Step 2: Convert to fraction form
    58,026/92,223 = 92,223/x
  3. Step 3: Cross multiply
    58,026x = 92,223 × 92,223
  4. Step 4: Simplify right side
    58,026x = 8,505,081,729
  5. Step 5: Solve for x
    x = 8,505,081,729/58,026
  6. Step 6: Final answer
    x = 146,573.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.