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Finding the Third Proportional to 114,422 and 175,037

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Solution

The third proportional to 114,422 and 175,037 is: 267,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,422 : 175,037 = 175,037 : x
  2. Step 2: Convert to fraction form
    114,422/175,037 = 175,037/x
  3. Step 3: Cross multiply
    114,422x = 175,037 × 175,037
  4. Step 4: Simplify right side
    114,422x = 30,637,951,369
  5. Step 5: Solve for x
    x = 30,637,951,369/114,422
  6. Step 6: Final answer
    x = 267,762.77

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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.