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Finding the Third Proportional to 133,822.50 and 197,037

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Solution

The third proportional to 133,822.50 and 197,037 is: 290,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,822.50 : 197,037 = 197,037 : x
  2. Step 2: Convert to fraction form
    133,822.50/197,037 = 197,037/x
  3. Step 3: Cross multiply
    133,822.50x = 197,037 × 197,037
  4. Step 4: Simplify right side
    133,822.50x = 38,823,579,369
  5. Step 5: Solve for x
    x = 38,823,579,369/133,822.50
  6. Step 6: Final answer
    x = 290,112.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.