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Finding the Third Proportional to 61,462 and 92,755

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Solution

The third proportional to 61,462 and 92,755 is: 139,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,462 : 92,755 = 92,755 : x
  2. Step 2: Convert to fraction form
    61,462/92,755 = 92,755/x
  3. Step 3: Cross multiply
    61,462x = 92,755 × 92,755
  4. Step 4: Simplify right side
    61,462x = 8,603,490,025
  5. Step 5: Solve for x
    x = 8,603,490,025/61,462
  6. Step 6: Final answer
    x = 139,980.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.