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Finding the Third Proportional to 65,893.50 and 105,016.50

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Solution

The third proportional to 65,893.50 and 105,016.50 is: 167,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,893.50 : 105,016.50 = 105,016.50 : x
  2. Step 2: Convert to fraction form
    65,893.50/105,016.50 = 105,016.50/x
  3. Step 3: Cross multiply
    65,893.50x = 105,016.50 × 105,016.50
  4. Step 4: Simplify right side
    65,893.50x = 11,028,465,272.25
  5. Step 5: Solve for x
    x = 11,028,465,272.25/65,893.50
  6. Step 6: Final answer
    x = 167,368.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.