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Finding the Third Proportional to 114,968 and 172,605

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Solution

The third proportional to 114,968 and 172,605 is: 259,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,968 : 172,605 = 172,605 : x
  2. Step 2: Convert to fraction form
    114,968/172,605 = 172,605/x
  3. Step 3: Cross multiply
    114,968x = 172,605 × 172,605
  4. Step 4: Simplify right side
    114,968x = 29,792,486,025
  5. Step 5: Solve for x
    x = 29,792,486,025/114,968
  6. Step 6: Final answer
    x = 259,137.20

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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.