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Finding the Third Proportional to 64,592 and 87,248

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Solution

The third proportional to 64,592 and 87,248 is: 117,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,592 : 87,248 = 87,248 : x
  2. Step 2: Convert to fraction form
    64,592/87,248 = 87,248/x
  3. Step 3: Cross multiply
    64,592x = 87,248 × 87,248
  4. Step 4: Simplify right side
    64,592x = 7,612,213,504
  5. Step 5: Solve for x
    x = 7,612,213,504/64,592
  6. Step 6: Final answer
    x = 117,850.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.