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Finding the Third Proportional to 56,272.13 and 85,837.13

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Solution

The third proportional to 56,272.13 and 85,837.13 is: 130,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,272.13 : 85,837.13 = 85,837.13 : x
  2. Step 2: Convert to fraction form
    56,272.13/85,837.13 = 85,837.13/x
  3. Step 3: Cross multiply
    56,272.13x = 85,837.13 × 85,837.13
  4. Step 4: Simplify right side
    56,272.13x = 7,368,012,028.27
  5. Step 5: Solve for x
    x = 7,368,012,028.27/56,272.13
  6. Step 6: Final answer
    x = 130,935.38

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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.