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Finding the Third Proportional to 52,188 and 112,480

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Solution

The third proportional to 52,188 and 112,480 is: 242,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,188 : 112,480 = 112,480 : x
  2. Step 2: Convert to fraction form
    52,188/112,480 = 112,480/x
  3. Step 3: Cross multiply
    52,188x = 112,480 × 112,480
  4. Step 4: Simplify right side
    52,188x = 12,651,750,400
  5. Step 5: Solve for x
    x = 12,651,750,400/52,188
  6. Step 6: Final answer
    x = 242,426.43

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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.