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Finding the Third Proportional to 52,126 and 112,518

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Solution

The third proportional to 52,126 and 112,518 is: 242,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,126 : 112,518 = 112,518 : x
  2. Step 2: Convert to fraction form
    52,126/112,518 = 112,518/x
  3. Step 3: Cross multiply
    52,126x = 112,518 × 112,518
  4. Step 4: Simplify right side
    52,126x = 12,660,300,324
  5. Step 5: Solve for x
    x = 12,660,300,324/52,126
  6. Step 6: Final answer
    x = 242,878.80

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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.