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Finding the Third Proportional to 76,402 and 114,747

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Solution

The third proportional to 76,402 and 114,747 is: 172,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,402 : 114,747 = 114,747 : x
  2. Step 2: Convert to fraction form
    76,402/114,747 = 114,747/x
  3. Step 3: Cross multiply
    76,402x = 114,747 × 114,747
  4. Step 4: Simplify right side
    76,402x = 13,166,874,009
  5. Step 5: Solve for x
    x = 13,166,874,009/76,402
  6. Step 6: Final answer
    x = 172,336.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.