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Finding the Third Proportional to 59,338 and 92,411

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Solution

The third proportional to 59,338 and 92,411 is: 143,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,338 : 92,411 = 92,411 : x
  2. Step 2: Convert to fraction form
    59,338/92,411 = 92,411/x
  3. Step 3: Cross multiply
    59,338x = 92,411 × 92,411
  4. Step 4: Simplify right side
    59,338x = 8,539,792,921
  5. Step 5: Solve for x
    x = 8,539,792,921/59,338
  6. Step 6: Final answer
    x = 143,917.77

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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.