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Finding the Third Proportional to 64,509.75 and 97,737.75

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Solution

The third proportional to 64,509.75 and 97,737.75 is: 148,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,509.75 : 97,737.75 = 97,737.75 : x
  2. Step 2: Convert to fraction form
    64,509.75/97,737.75 = 97,737.75/x
  3. Step 3: Cross multiply
    64,509.75x = 97,737.75 × 97,737.75
  4. Step 4: Simplify right side
    64,509.75x = 9,552,667,775.06
  5. Step 5: Solve for x
    x = 9,552,667,775.06/64,509.75
  6. Step 6: Final answer
    x = 148,080.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.