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Finding the Third Proportional to 61,899 and 92,985

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Solution

The third proportional to 61,899 and 92,985 is: 139,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,899 : 92,985 = 92,985 : x
  2. Step 2: Convert to fraction form
    61,899/92,985 = 92,985/x
  3. Step 3: Cross multiply
    61,899x = 92,985 × 92,985
  4. Step 4: Simplify right side
    61,899x = 8,646,210,225
  5. Step 5: Solve for x
    x = 8,646,210,225/61,899
  6. Step 6: Final answer
    x = 139,682.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.