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Finding the Third Proportional to 61,886.25 and 92,965.50

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Solution

The third proportional to 61,886.25 and 92,965.50 is: 139,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,886.25 : 92,965.50 = 92,965.50 : x
  2. Step 2: Convert to fraction form
    61,886.25/92,965.50 = 92,965.50/x
  3. Step 3: Cross multiply
    61,886.25x = 92,965.50 × 92,965.50
  4. Step 4: Simplify right side
    61,886.25x = 8,642,584,190.25
  5. Step 5: Solve for x
    x = 8,642,584,190.25/61,886.25
  6. Step 6: Final answer
    x = 139,652.74

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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.