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Finding the Third Proportional to 73,416 and 111,661.50

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Solution

The third proportional to 73,416 and 111,661.50 is: 169,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,416 : 111,661.50 = 111,661.50 : x
  2. Step 2: Convert to fraction form
    73,416/111,661.50 = 111,661.50/x
  3. Step 3: Cross multiply
    73,416x = 111,661.50 × 111,661.50
  4. Step 4: Simplify right side
    73,416x = 12,468,290,582.25
  5. Step 5: Solve for x
    x = 12,468,290,582.25/73,416
  6. Step 6: Final answer
    x = 169,830.70

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