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Finding the Third Proportional to 114,966 and 172,602

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Solution

The third proportional to 114,966 and 172,602 is: 259,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,966 : 172,602 = 172,602 : x
  2. Step 2: Convert to fraction form
    114,966/172,602 = 172,602/x
  3. Step 3: Cross multiply
    114,966x = 172,602 × 172,602
  4. Step 4: Simplify right side
    114,966x = 29,791,450,404
  5. Step 5: Solve for x
    x = 29,791,450,404/114,966
  6. Step 6: Final answer
    x = 259,132.70

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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.