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Finding the Third Proportional to 72,999.50 and 110,870.50

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Solution

The third proportional to 72,999.50 and 110,870.50 is: 168,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,999.50 : 110,870.50 = 110,870.50 : x
  2. Step 2: Convert to fraction form
    72,999.50/110,870.50 = 110,870.50/x
  3. Step 3: Cross multiply
    72,999.50x = 110,870.50 × 110,870.50
  4. Step 4: Simplify right side
    72,999.50x = 12,292,267,770.25
  5. Step 5: Solve for x
    x = 12,292,267,770.25/72,999.50
  6. Step 6: Final answer
    x = 168,388.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.