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Finding the Third Proportional to 56,201.63 and 84,673.69

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Solution

The third proportional to 56,201.63 and 84,673.69 is: 127,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,201.63 : 84,673.69 = 84,673.69 : x
  2. Step 2: Convert to fraction form
    56,201.63/84,673.69 = 84,673.69/x
  3. Step 3: Cross multiply
    56,201.63x = 84,673.69 × 84,673.69
  4. Step 4: Simplify right side
    56,201.63x = 7,169,633,354.85
  5. Step 5: Solve for x
    x = 7,169,633,354.85/56,201.63
  6. Step 6: Final answer
    x = 127,569.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.