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Finding the Third Proportional to 72,495 and 110,909.25

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Solution

The third proportional to 72,495 and 110,909.25 is: 169,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,495 : 110,909.25 = 110,909.25 : x
  2. Step 2: Convert to fraction form
    72,495/110,909.25 = 110,909.25/x
  3. Step 3: Cross multiply
    72,495x = 110,909.25 × 110,909.25
  4. Step 4: Simplify right side
    72,495x = 12,300,861,735.56
  5. Step 5: Solve for x
    x = 12,300,861,735.56/72,495
  6. Step 6: Final answer
    x = 169,678.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.