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Finding the Third Proportional to 72,559.13 and 162,961.88

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Solution

The third proportional to 72,559.13 and 162,961.88 is: 365,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,559.13 : 162,961.88 = 162,961.88 : x
  2. Step 2: Convert to fraction form
    72,559.13/162,961.88 = 162,961.88/x
  3. Step 3: Cross multiply
    72,559.13x = 162,961.88 × 162,961.88
  4. Step 4: Simplify right side
    72,559.13x = 26,556,572,703.52
  5. Step 5: Solve for x
    x = 26,556,572,703.52/72,559.13
  6. Step 6: Final answer
    x = 365,999.08

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.