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Finding the Third Proportional to 114,960 and 172,576

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Solution

The third proportional to 114,960 and 172,576 is: 259,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,960 : 172,576 = 172,576 : x
  2. Step 2: Convert to fraction form
    114,960/172,576 = 172,576/x
  3. Step 3: Cross multiply
    114,960x = 172,576 × 172,576
  4. Step 4: Simplify right side
    114,960x = 29,782,475,776
  5. Step 5: Solve for x
    x = 29,782,475,776/114,960
  6. Step 6: Final answer
    x = 259,068.16

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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.