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Finding the Third Proportional to 70,336 and 111,296

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Solution

The third proportional to 70,336 and 111,296 is: 176,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,336 : 111,296 = 111,296 : x
  2. Step 2: Convert to fraction form
    70,336/111,296 = 111,296/x
  3. Step 3: Cross multiply
    70,336x = 111,296 × 111,296
  4. Step 4: Simplify right side
    70,336x = 12,386,799,616
  5. Step 5: Solve for x
    x = 12,386,799,616/70,336
  6. Step 6: Final answer
    x = 176,108.96

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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.