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Finding the Third Proportional to 57,638.50 and 88,207

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Solution

The third proportional to 57,638.50 and 88,207 is: 134,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,638.50 : 88,207 = 88,207 : x
  2. Step 2: Convert to fraction form
    57,638.50/88,207 = 88,207/x
  3. Step 3: Cross multiply
    57,638.50x = 88,207 × 88,207
  4. Step 4: Simplify right side
    57,638.50x = 7,780,474,849
  5. Step 5: Solve for x
    x = 7,780,474,849/57,638.50
  6. Step 6: Final answer
    x = 134,987.46

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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.