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Finding the Third Proportional to 57,834 and 87,237

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Solution

The third proportional to 57,834 and 87,237 is: 131,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,834 : 87,237 = 87,237 : x
  2. Step 2: Convert to fraction form
    57,834/87,237 = 87,237/x
  3. Step 3: Cross multiply
    57,834x = 87,237 × 87,237
  4. Step 4: Simplify right side
    57,834x = 7,610,294,169
  5. Step 5: Solve for x
    x = 7,610,294,169/57,834
  6. Step 6: Final answer
    x = 131,588.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.