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Finding the Third Proportional to 61,880.63 and 149,022.56

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Solution

The third proportional to 61,880.63 and 149,022.56 is: 358,880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,880.63 : 149,022.56 = 149,022.56 : x
  2. Step 2: Convert to fraction form
    61,880.63/149,022.56 = 149,022.56/x
  3. Step 3: Cross multiply
    61,880.63x = 149,022.56 × 149,022.56
  4. Step 4: Simplify right side
    61,880.63x = 22,207,724,134.07
  5. Step 5: Solve for x
    x = 22,207,724,134.07/61,880.63
  6. Step 6: Final answer
    x = 358,880.09

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.