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Finding the Third Proportional to 52,711 and 112,955

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Solution

The third proportional to 52,711 and 112,955 is: 242,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,711 : 112,955 = 112,955 : x
  2. Step 2: Convert to fraction form
    52,711/112,955 = 112,955/x
  3. Step 3: Cross multiply
    52,711x = 112,955 × 112,955
  4. Step 4: Simplify right side
    52,711x = 12,758,832,025
  5. Step 5: Solve for x
    x = 12,758,832,025/52,711
  6. Step 6: Final answer
    x = 242,052.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.