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Finding the Third Proportional to 128,125.50 and 191,139

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Solution

The third proportional to 128,125.50 and 191,139 is: 285,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,125.50 : 191,139 = 191,139 : x
  2. Step 2: Convert to fraction form
    128,125.50/191,139 = 191,139/x
  3. Step 3: Cross multiply
    128,125.50x = 191,139 × 191,139
  4. Step 4: Simplify right side
    128,125.50x = 36,534,117,321
  5. Step 5: Solve for x
    x = 36,534,117,321/128,125.50
  6. Step 6: Final answer
    x = 285,143.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.