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Finding the Third Proportional to 84,900 and 114,894

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Solution

The third proportional to 84,900 and 114,894 is: 155,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,900 : 114,894 = 114,894 : x
  2. Step 2: Convert to fraction form
    84,900/114,894 = 114,894/x
  3. Step 3: Cross multiply
    84,900x = 114,894 × 114,894
  4. Step 4: Simplify right side
    84,900x = 13,200,631,236
  5. Step 5: Solve for x
    x = 13,200,631,236/84,900
  6. Step 6: Final answer
    x = 155,484.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.