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Finding the Third Proportional to 64,845.38 and 97,268.06

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Solution

The third proportional to 64,845.38 and 97,268.06 is: 145,902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,845.38 : 97,268.06 = 97,268.06 : x
  2. Step 2: Convert to fraction form
    64,845.38/97,268.06 = 97,268.06/x
  3. Step 3: Cross multiply
    64,845.38x = 97,268.06 × 97,268.06
  4. Step 4: Simplify right side
    64,845.38x = 9,461,075,982.50
  5. Step 5: Solve for x
    x = 9,461,075,982.50/64,845.38
  6. Step 6: Final answer
    x = 145,902.09

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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.