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Finding the Third Proportional to 117,702 and 151,125

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Solution

The third proportional to 117,702 and 151,125 is: 194,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,702 : 151,125 = 151,125 : x
  2. Step 2: Convert to fraction form
    117,702/151,125 = 151,125/x
  3. Step 3: Cross multiply
    117,702x = 151,125 × 151,125
  4. Step 4: Simplify right side
    117,702x = 22,838,765,625
  5. Step 5: Solve for x
    x = 22,838,765,625/117,702
  6. Step 6: Final answer
    x = 194,038.89

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.