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Finding the Third Proportional to 64,154 and 92,412

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Solution

The third proportional to 64,154 and 92,412 is: 133,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,154 : 92,412 = 92,412 : x
  2. Step 2: Convert to fraction form
    64,154/92,412 = 92,412/x
  3. Step 3: Cross multiply
    64,154x = 92,412 × 92,412
  4. Step 4: Simplify right side
    64,154x = 8,539,977,744
  5. Step 5: Solve for x
    x = 8,539,977,744/64,154
  6. Step 6: Final answer
    x = 133,116.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.