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Finding the Third Proportional to 61,464.25 and 92,761.75

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Solution

The third proportional to 61,464.25 and 92,761.75 is: 139,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464.25 : 92,761.75 = 92,761.75 : x
  2. Step 2: Convert to fraction form
    61,464.25/92,761.75 = 92,761.75/x
  3. Step 3: Cross multiply
    61,464.25x = 92,761.75 × 92,761.75
  4. Step 4: Simplify right side
    61,464.25x = 8,604,742,263.06
  5. Step 5: Solve for x
    x = 8,604,742,263.06/61,464.25
  6. Step 6: Final answer
    x = 139,995.89

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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.