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Finding the Third Proportional to 59,878 and 92,065

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Solution

The third proportional to 59,878 and 92,065 is: 141,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,878 : 92,065 = 92,065 : x
  2. Step 2: Convert to fraction form
    59,878/92,065 = 92,065/x
  3. Step 3: Cross multiply
    59,878x = 92,065 × 92,065
  4. Step 4: Simplify right side
    59,878x = 8,475,964,225
  5. Step 5: Solve for x
    x = 8,475,964,225/59,878
  6. Step 6: Final answer
    x = 141,553.90

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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.