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Finding the Third Proportional to 56,375 and 74,146

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Solution

The third proportional to 56,375 and 74,146 is: 97,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,375 : 74,146 = 74,146 : x
  2. Step 2: Convert to fraction form
    56,375/74,146 = 74,146/x
  3. Step 3: Cross multiply
    56,375x = 74,146 × 74,146
  4. Step 4: Simplify right side
    56,375x = 5,497,629,316
  5. Step 5: Solve for x
    x = 5,497,629,316/56,375
  6. Step 6: Final answer
    x = 97,518.92

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.