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Finding the Third Proportional to 65,390.75 and 92,553.50

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Solution

The third proportional to 65,390.75 and 92,553.50 is: 130,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,390.75 : 92,553.50 = 92,553.50 : x
  2. Step 2: Convert to fraction form
    65,390.75/92,553.50 = 92,553.50/x
  3. Step 3: Cross multiply
    65,390.75x = 92,553.50 × 92,553.50
  4. Step 4: Simplify right side
    65,390.75x = 8,566,150,362.25
  5. Step 5: Solve for x
    x = 8,566,150,362.25/65,390.75
  6. Step 6: Final answer
    x = 130,999.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.