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Finding the Third Proportional to 64,602.56 and 96,975.56

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Solution

The third proportional to 64,602.56 and 96,975.56 is: 145,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,602.56 : 96,975.56 = 96,975.56 : x
  2. Step 2: Convert to fraction form
    64,602.56/96,975.56 = 96,975.56/x
  3. Step 3: Cross multiply
    64,602.56x = 96,975.56 × 96,975.56
  4. Step 4: Simplify right side
    64,602.56x = 9,404,259,722.19
  5. Step 5: Solve for x
    x = 9,404,259,722.19/64,602.56
  6. Step 6: Final answer
    x = 145,571.00

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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.