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Finding the Third Proportional to 64,301 and 102,319.50

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Solution

The third proportional to 64,301 and 102,319.50 is: 162,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,301 : 102,319.50 = 102,319.50 : x
  2. Step 2: Convert to fraction form
    64,301/102,319.50 = 102,319.50/x
  3. Step 3: Cross multiply
    64,301x = 102,319.50 × 102,319.50
  4. Step 4: Simplify right side
    64,301x = 10,469,280,080.25
  5. Step 5: Solve for x
    x = 10,469,280,080.25/64,301
  6. Step 6: Final answer
    x = 162,816.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.