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Finding the Third Proportional to 57,996 and 88,209

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Solution

The third proportional to 57,996 and 88,209 is: 134,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,996 : 88,209 = 88,209 : x
  2. Step 2: Convert to fraction form
    57,996/88,209 = 88,209/x
  3. Step 3: Cross multiply
    57,996x = 88,209 × 88,209
  4. Step 4: Simplify right side
    57,996x = 7,780,827,681
  5. Step 5: Solve for x
    x = 7,780,827,681/57,996
  6. Step 6: Final answer
    x = 134,161.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.