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Finding the Third Proportional to 32,762 and 70,199

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Solution

The third proportional to 32,762 and 70,199 is: 150,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762 : 70,199 = 70,199 : x
  2. Step 2: Convert to fraction form
    32,762/70,199 = 70,199/x
  3. Step 3: Cross multiply
    32,762x = 70,199 × 70,199
  4. Step 4: Simplify right side
    32,762x = 4,927,899,601
  5. Step 5: Solve for x
    x = 4,927,899,601/32,762
  6. Step 6: Final answer
    x = 150,415.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.