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Finding the Third Proportional to 59,356 and 92,438

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Solution

The third proportional to 59,356 and 92,438 is: 143,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,356 : 92,438 = 92,438 : x
  2. Step 2: Convert to fraction form
    59,356/92,438 = 92,438/x
  3. Step 3: Cross multiply
    59,356x = 92,438 × 92,438
  4. Step 4: Simplify right side
    59,356x = 8,544,783,844
  5. Step 5: Solve for x
    x = 8,544,783,844/59,356
  6. Step 6: Final answer
    x = 143,958.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.