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Finding the Third Proportional to 52,160 and 112,432

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Solution

The third proportional to 52,160 and 112,432 is: 242,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160 : 112,432 = 112,432 : x
  2. Step 2: Convert to fraction form
    52,160/112,432 = 112,432/x
  3. Step 3: Cross multiply
    52,160x = 112,432 × 112,432
  4. Step 4: Simplify right side
    52,160x = 12,640,954,624
  5. Step 5: Solve for x
    x = 12,640,954,624/52,160
  6. Step 6: Final answer
    x = 242,349.59

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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.