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Finding the Third Proportional to 110,905.50 and 172,047

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Solution

The third proportional to 110,905.50 and 172,047 is: 266,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,905.50 : 172,047 = 172,047 : x
  2. Step 2: Convert to fraction form
    110,905.50/172,047 = 172,047/x
  3. Step 3: Cross multiply
    110,905.50x = 172,047 × 172,047
  4. Step 4: Simplify right side
    110,905.50x = 29,600,170,209
  5. Step 5: Solve for x
    x = 29,600,170,209/110,905.50
  6. Step 6: Final answer
    x = 266,895.42

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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.