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Finding the Third Proportional to 69,370 and 128,894

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Solution

The third proportional to 69,370 and 128,894 is: 239,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,370 : 128,894 = 128,894 : x
  2. Step 2: Convert to fraction form
    69,370/128,894 = 128,894/x
  3. Step 3: Cross multiply
    69,370x = 128,894 × 128,894
  4. Step 4: Simplify right side
    69,370x = 16,613,663,236
  5. Step 5: Solve for x
    x = 16,613,663,236/69,370
  6. Step 6: Final answer
    x = 239,493.49

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.