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Finding the Third Proportional to 55,534 and 81,217

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Solution

The third proportional to 55,534 and 81,217 is: 118,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,534 : 81,217 = 81,217 : x
  2. Step 2: Convert to fraction form
    55,534/81,217 = 81,217/x
  3. Step 3: Cross multiply
    55,534x = 81,217 × 81,217
  4. Step 4: Simplify right side
    55,534x = 6,596,201,089
  5. Step 5: Solve for x
    x = 6,596,201,089/55,534
  6. Step 6: Final answer
    x = 118,777.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.