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Finding the Third Proportional to 64,662.75 and 97,083

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Solution

The third proportional to 64,662.75 and 97,083 is: 145,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,662.75 : 97,083 = 97,083 : x
  2. Step 2: Convert to fraction form
    64,662.75/97,083 = 97,083/x
  3. Step 3: Cross multiply
    64,662.75x = 97,083 × 97,083
  4. Step 4: Simplify right side
    64,662.75x = 9,425,108,889
  5. Step 5: Solve for x
    x = 9,425,108,889/64,662.75
  6. Step 6: Final answer
    x = 145,757.93

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Why These Related Problems?

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