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Finding the Third Proportional to 70,314 and 111,263

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Solution

The third proportional to 70,314 and 111,263 is: 176,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,314 : 111,263 = 111,263 : x
  2. Step 2: Convert to fraction form
    70,314/111,263 = 111,263/x
  3. Step 3: Cross multiply
    70,314x = 111,263 × 111,263
  4. Step 4: Simplify right side
    70,314x = 12,379,455,169
  5. Step 5: Solve for x
    x = 12,379,455,169/70,314
  6. Step 6: Final answer
    x = 176,059.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.