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Finding the Third Proportional to 114,457 and 175,087

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Solution

The third proportional to 114,457 and 175,087 is: 267,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,457 : 175,087 = 175,087 : x
  2. Step 2: Convert to fraction form
    114,457/175,087 = 175,087/x
  3. Step 3: Cross multiply
    114,457x = 175,087 × 175,087
  4. Step 4: Simplify right side
    114,457x = 30,655,457,569
  5. Step 5: Solve for x
    x = 30,655,457,569/114,457
  6. Step 6: Final answer
    x = 267,833.84

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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.