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Finding the Third Proportional to 121,957 and 191,566

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Solution

The third proportional to 121,957 and 191,566 is: 300,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,957 : 191,566 = 191,566 : x
  2. Step 2: Convert to fraction form
    121,957/191,566 = 191,566/x
  3. Step 3: Cross multiply
    121,957x = 191,566 × 191,566
  4. Step 4: Simplify right side
    121,957x = 36,697,532,356
  5. Step 5: Solve for x
    x = 36,697,532,356/121,957
  6. Step 6: Final answer
    x = 300,905.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.