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Finding the Third Proportional to 32,106 and 69,774

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Solution

The third proportional to 32,106 and 69,774 is: 151,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106 : 69,774 = 69,774 : x
  2. Step 2: Convert to fraction form
    32,106/69,774 = 69,774/x
  3. Step 3: Cross multiply
    32,106x = 69,774 × 69,774
  4. Step 4: Simplify right side
    32,106x = 4,868,411,076
  5. Step 5: Solve for x
    x = 4,868,411,076/32,106
  6. Step 6: Final answer
    x = 151,635.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.