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Finding the Third Proportional to 71,232 and 101,248

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Solution

The third proportional to 71,232 and 101,248 is: 143,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,232 : 101,248 = 101,248 : x
  2. Step 2: Convert to fraction form
    71,232/101,248 = 101,248/x
  3. Step 3: Cross multiply
    71,232x = 101,248 × 101,248
  4. Step 4: Simplify right side
    71,232x = 10,251,157,504
  5. Step 5: Solve for x
    x = 10,251,157,504/71,232
  6. Step 6: Final answer
    x = 143,912.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.