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Finding the Third Proportional to 51,064 and 76,650

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Solution

The third proportional to 51,064 and 76,650 is: 115,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,064 : 76,650 = 76,650 : x
  2. Step 2: Convert to fraction form
    51,064/76,650 = 76,650/x
  3. Step 3: Cross multiply
    51,064x = 76,650 × 76,650
  4. Step 4: Simplify right side
    51,064x = 5,875,222,500
  5. Step 5: Solve for x
    x = 5,875,222,500/51,064
  6. Step 6: Final answer
    x = 115,056.06

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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.