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Finding the Third Proportional to 59,537 and 92,379

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Solution

The third proportional to 59,537 and 92,379 is: 143,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,537 : 92,379 = 92,379 : x
  2. Step 2: Convert to fraction form
    59,537/92,379 = 92,379/x
  3. Step 3: Cross multiply
    59,537x = 92,379 × 92,379
  4. Step 4: Simplify right side
    59,537x = 8,533,879,641
  5. Step 5: Solve for x
    x = 8,533,879,641/59,537
  6. Step 6: Final answer
    x = 143,337.41

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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.