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Finding the Third Proportional to 76,461 and 105,655

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Solution

The third proportional to 76,461 and 105,655 is: 145,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,461 : 105,655 = 105,655 : x
  2. Step 2: Convert to fraction form
    76,461/105,655 = 105,655/x
  3. Step 3: Cross multiply
    76,461x = 105,655 × 105,655
  4. Step 4: Simplify right side
    76,461x = 11,162,979,025
  5. Step 5: Solve for x
    x = 11,162,979,025/76,461
  6. Step 6: Final answer
    x = 145,995.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.