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Finding the Third Proportional to 72,357 and 111,814.50

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Solution

The third proportional to 72,357 and 111,814.50 is: 172,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,357 : 111,814.50 = 111,814.50 : x
  2. Step 2: Convert to fraction form
    72,357/111,814.50 = 111,814.50/x
  3. Step 3: Cross multiply
    72,357x = 111,814.50 × 111,814.50
  4. Step 4: Simplify right side
    72,357x = 12,502,482,410.25
  5. Step 5: Solve for x
    x = 12,502,482,410.25/72,357
  6. Step 6: Final answer
    x = 172,788.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.