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Finding the Third Proportional to 107,973 and 161,979.75

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Solution

The third proportional to 107,973 and 161,979.75 is: 243,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,973 : 161,979.75 = 161,979.75 : x
  2. Step 2: Convert to fraction form
    107,973/161,979.75 = 161,979.75/x
  3. Step 3: Cross multiply
    107,973x = 161,979.75 × 161,979.75
  4. Step 4: Simplify right side
    107,973x = 26,237,439,410.06
  5. Step 5: Solve for x
    x = 26,237,439,410.06/107,973
  6. Step 6: Final answer
    x = 243,000.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.