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Finding the Third Proportional to 62,844.75 and 132,152.63

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Solution

The third proportional to 62,844.75 and 132,152.63 is: 277,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,844.75 : 132,152.63 = 132,152.63 : x
  2. Step 2: Convert to fraction form
    62,844.75/132,152.63 = 132,152.63/x
  3. Step 3: Cross multiply
    62,844.75x = 132,152.63 × 132,152.63
  4. Step 4: Simplify right side
    62,844.75x = 17,464,316,294.39
  5. Step 5: Solve for x
    x = 17,464,316,294.39/62,844.75
  6. Step 6: Final answer
    x = 277,896.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.