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Finding the Third Proportional to 60,845.81 and 133,161.94

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Solution

The third proportional to 60,845.81 and 133,161.94 is: 291,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,845.81 : 133,161.94 = 133,161.94 : x
  2. Step 2: Convert to fraction form
    60,845.81/133,161.94 = 133,161.94/x
  3. Step 3: Cross multiply
    60,845.81x = 133,161.94 × 133,161.94
  4. Step 4: Simplify right side
    60,845.81x = 17,732,101,598.75
  5. Step 5: Solve for x
    x = 17,732,101,598.75/60,845.81
  6. Step 6: Final answer
    x = 291,426.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.