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Finding the Third Proportional to 120,601.50 and 191,139

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Solution

The third proportional to 120,601.50 and 191,139 is: 302,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,601.50 : 191,139 = 191,139 : x
  2. Step 2: Convert to fraction form
    120,601.50/191,139 = 191,139/x
  3. Step 3: Cross multiply
    120,601.50x = 191,139 × 191,139
  4. Step 4: Simplify right side
    120,601.50x = 36,534,117,321
  5. Step 5: Solve for x
    x = 36,534,117,321/120,601.50
  6. Step 6: Final answer
    x = 302,932.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.