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Finding the Third Proportional to 59,432 and 92,322

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Solution

The third proportional to 59,432 and 92,322 is: 143,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,432 : 92,322 = 92,322 : x
  2. Step 2: Convert to fraction form
    59,432/92,322 = 92,322/x
  3. Step 3: Cross multiply
    59,432x = 92,322 × 92,322
  4. Step 4: Simplify right side
    59,432x = 8,523,351,684
  5. Step 5: Solve for x
    x = 8,523,351,684/59,432
  6. Step 6: Final answer
    x = 143,413.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.