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Finding the Third Proportional to 52,792 and 109,953

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Solution

The third proportional to 52,792 and 109,953 is: 229,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,792 : 109,953 = 109,953 : x
  2. Step 2: Convert to fraction form
    52,792/109,953 = 109,953/x
  3. Step 3: Cross multiply
    52,792x = 109,953 × 109,953
  4. Step 4: Simplify right side
    52,792x = 12,089,662,209
  5. Step 5: Solve for x
    x = 12,089,662,209/52,792
  6. Step 6: Final answer
    x = 229,005.57

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.