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Finding the Third Proportional to 52,035 and 112,263

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Solution

The third proportional to 52,035 and 112,263 is: 242,202.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035 : 112,263 = 112,263 : x
  2. Step 2: Convert to fraction form
    52,035/112,263 = 112,263/x
  3. Step 3: Cross multiply
    52,035x = 112,263 × 112,263
  4. Step 4: Simplify right side
    52,035x = 12,602,981,169
  5. Step 5: Solve for x
    x = 12,602,981,169/52,035
  6. Step 6: Final answer
    x = 242,202.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.