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Finding the Third Proportional to 64,420.50 and 96,332.25

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Solution

The third proportional to 64,420.50 and 96,332.25 is: 144,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,420.50 : 96,332.25 = 96,332.25 : x
  2. Step 2: Convert to fraction form
    64,420.50/96,332.25 = 96,332.25/x
  3. Step 3: Cross multiply
    64,420.50x = 96,332.25 × 96,332.25
  4. Step 4: Simplify right side
    64,420.50x = 9,279,902,390.06
  5. Step 5: Solve for x
    x = 9,279,902,390.06/64,420.50
  6. Step 6: Final answer
    x = 144,052.01

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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.