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Finding the Third Proportional to 76,414 and 99,852

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Solution

The third proportional to 76,414 and 99,852 is: 130,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,414 : 99,852 = 99,852 : x
  2. Step 2: Convert to fraction form
    76,414/99,852 = 99,852/x
  3. Step 3: Cross multiply
    76,414x = 99,852 × 99,852
  4. Step 4: Simplify right side
    76,414x = 9,970,421,904
  5. Step 5: Solve for x
    x = 9,970,421,904/76,414
  6. Step 6: Final answer
    x = 130,478.99

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.