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Finding the Third Proportional to 57,596 and 88,852

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Solution

The third proportional to 57,596 and 88,852 is: 137,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,596 : 88,852 = 88,852 : x
  2. Step 2: Convert to fraction form
    57,596/88,852 = 88,852/x
  3. Step 3: Cross multiply
    57,596x = 88,852 × 88,852
  4. Step 4: Simplify right side
    57,596x = 7,894,677,904
  5. Step 5: Solve for x
    x = 7,894,677,904/57,596
  6. Step 6: Final answer
    x = 137,069.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.