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Finding the Third Proportional to 56,352 and 74,112

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Solution

The third proportional to 56,352 and 74,112 is: 97,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,352 : 74,112 = 74,112 : x
  2. Step 2: Convert to fraction form
    56,352/74,112 = 74,112/x
  3. Step 3: Cross multiply
    56,352x = 74,112 × 74,112
  4. Step 4: Simplify right side
    56,352x = 5,492,588,544
  5. Step 5: Solve for x
    x = 5,492,588,544/56,352
  6. Step 6: Final answer
    x = 97,469.27

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