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Finding the Third Proportional to 64,354.50 and 96,076.13

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Solution

The third proportional to 64,354.50 and 96,076.13 is: 143,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,354.50 : 96,076.13 = 96,076.13 : x
  2. Step 2: Convert to fraction form
    64,354.50/96,076.13 = 96,076.13/x
  3. Step 3: Cross multiply
    64,354.50x = 96,076.13 × 96,076.13
  4. Step 4: Simplify right side
    64,354.50x = 9,230,621,795.02
  5. Step 5: Solve for x
    x = 9,230,621,795.02/64,354.50
  6. Step 6: Final answer
    x = 143,433.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.