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Finding the Third Proportional to 58,194 and 92,979

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Solution

The third proportional to 58,194 and 92,979 is: 148,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,194 : 92,979 = 92,979 : x
  2. Step 2: Convert to fraction form
    58,194/92,979 = 92,979/x
  3. Step 3: Cross multiply
    58,194x = 92,979 × 92,979
  4. Step 4: Simplify right side
    58,194x = 8,645,094,441
  5. Step 5: Solve for x
    x = 8,645,094,441/58,194
  6. Step 6: Final answer
    x = 148,556.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.