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Finding the Third Proportional to 59,522 and 90,051

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Solution

The third proportional to 59,522 and 90,051 is: 136,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,522 : 90,051 = 90,051 : x
  2. Step 2: Convert to fraction form
    59,522/90,051 = 90,051/x
  3. Step 3: Cross multiply
    59,522x = 90,051 × 90,051
  4. Step 4: Simplify right side
    59,522x = 8,109,182,601
  5. Step 5: Solve for x
    x = 8,109,182,601/59,522
  6. Step 6: Final answer
    x = 136,238.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.