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Finding the Third Proportional to 52,122 and 112,350

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Solution

The third proportional to 52,122 and 112,350 is: 242,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,122 : 112,350 = 112,350 : x
  2. Step 2: Convert to fraction form
    52,122/112,350 = 112,350/x
  3. Step 3: Cross multiply
    52,122x = 112,350 × 112,350
  4. Step 4: Simplify right side
    52,122x = 12,622,522,500
  5. Step 5: Solve for x
    x = 12,622,522,500/52,122
  6. Step 6: Final answer
    x = 242,172.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.