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Finding the Third Proportional to 57,322 and 88,539

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Solution

The third proportional to 57,322 and 88,539 is: 136,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,322 : 88,539 = 88,539 : x
  2. Step 2: Convert to fraction form
    57,322/88,539 = 88,539/x
  3. Step 3: Cross multiply
    57,322x = 88,539 × 88,539
  4. Step 4: Simplify right side
    57,322x = 7,839,154,521
  5. Step 5: Solve for x
    x = 7,839,154,521/57,322
  6. Step 6: Final answer
    x = 136,756.47

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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.