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Finding the Third Proportional to 57,012 and 124,752

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Solution

The third proportional to 57,012 and 124,752 is: 272,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,012 : 124,752 = 124,752 : x
  2. Step 2: Convert to fraction form
    57,012/124,752 = 124,752/x
  3. Step 3: Cross multiply
    57,012x = 124,752 × 124,752
  4. Step 4: Simplify right side
    57,012x = 15,563,061,504
  5. Step 5: Solve for x
    x = 15,563,061,504/57,012
  6. Step 6: Final answer
    x = 272,978.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.