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Finding the Third Proportional to 64,200.75 and 96,495.75

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Solution

The third proportional to 64,200.75 and 96,495.75 is: 145,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,200.75 : 96,495.75 = 96,495.75 : x
  2. Step 2: Convert to fraction form
    64,200.75/96,495.75 = 96,495.75/x
  3. Step 3: Cross multiply
    64,200.75x = 96,495.75 × 96,495.75
  4. Step 4: Simplify right side
    64,200.75x = 9,311,429,768.06
  5. Step 5: Solve for x
    x = 9,311,429,768.06/64,200.75
  6. Step 6: Final answer
    x = 145,036.15

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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.