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Finding the Third Proportional to 102,194 and 137,331

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Solution

The third proportional to 102,194 and 137,331 is: 184,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,194 : 137,331 = 137,331 : x
  2. Step 2: Convert to fraction form
    102,194/137,331 = 137,331/x
  3. Step 3: Cross multiply
    102,194x = 137,331 × 137,331
  4. Step 4: Simplify right side
    102,194x = 18,859,803,561
  5. Step 5: Solve for x
    x = 18,859,803,561/102,194
  6. Step 6: Final answer
    x = 184,549.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.