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Finding the Third Proportional to 61,568.63 and 133,920.38

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Solution

The third proportional to 61,568.63 and 133,920.38 is: 291,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,568.63 : 133,920.38 = 133,920.38 : x
  2. Step 2: Convert to fraction form
    61,568.63/133,920.38 = 133,920.38/x
  3. Step 3: Cross multiply
    61,568.63x = 133,920.38 × 133,920.38
  4. Step 4: Simplify right side
    61,568.63x = 17,934,666,840.14
  5. Step 5: Solve for x
    x = 17,934,666,840.14/61,568.63
  6. Step 6: Final answer
    x = 291,295.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.