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Finding the Third Proportional to 114,122 and 171,534

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Solution

The third proportional to 114,122 and 171,534 is: 257,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,122 : 171,534 = 171,534 : x
  2. Step 2: Convert to fraction form
    114,122/171,534 = 171,534/x
  3. Step 3: Cross multiply
    114,122x = 171,534 × 171,534
  4. Step 4: Simplify right side
    114,122x = 29,423,913,156
  5. Step 5: Solve for x
    x = 29,423,913,156/114,122
  6. Step 6: Final answer
    x = 257,828.58

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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.