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Finding the Third Proportional to 115,152 and 176,733

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Solution

The third proportional to 115,152 and 176,733 is: 271,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,152 : 176,733 = 176,733 : x
  2. Step 2: Convert to fraction form
    115,152/176,733 = 176,733/x
  3. Step 3: Cross multiply
    115,152x = 176,733 × 176,733
  4. Step 4: Simplify right side
    115,152x = 31,234,553,289
  5. Step 5: Solve for x
    x = 31,234,553,289/115,152
  6. Step 6: Final answer
    x = 271,246.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.