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Finding the Third Proportional to 73,395 and 105,961.50

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Solution

The third proportional to 73,395 and 105,961.50 is: 152,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,395 : 105,961.50 = 105,961.50 : x
  2. Step 2: Convert to fraction form
    73,395/105,961.50 = 105,961.50/x
  3. Step 3: Cross multiply
    73,395x = 105,961.50 × 105,961.50
  4. Step 4: Simplify right side
    73,395x = 11,227,839,482.25
  5. Step 5: Solve for x
    x = 11,227,839,482.25/73,395
  6. Step 6: Final answer
    x = 152,978.26

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.