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Finding the Third Proportional to 56,273.13 and 85,838.91

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Solution

The third proportional to 56,273.13 and 85,838.91 is: 130,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,273.13 : 85,838.91 = 85,838.91 : x
  2. Step 2: Convert to fraction form
    56,273.13/85,838.91 = 85,838.91/x
  3. Step 3: Cross multiply
    56,273.13x = 85,838.91 × 85,838.91
  4. Step 4: Simplify right side
    56,273.13x = 7,368,317,826.20
  5. Step 5: Solve for x
    x = 7,368,317,826.20/56,273.13
  6. Step 6: Final answer
    x = 130,938.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.