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Finding the Third Proportional to 43,102 and 64,704

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Solution

The third proportional to 43,102 and 64,704 is: 97,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,102 : 64,704 = 64,704 : x
  2. Step 2: Convert to fraction form
    43,102/64,704 = 64,704/x
  3. Step 3: Cross multiply
    43,102x = 64,704 × 64,704
  4. Step 4: Simplify right side
    43,102x = 4,186,607,616
  5. Step 5: Solve for x
    x = 4,186,607,616/43,102
  6. Step 6: Final answer
    x = 97,132.56

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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.