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Finding the Third Proportional to 49,347 and 108,534

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Solution

The third proportional to 49,347 and 108,534 is: 238,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,347 : 108,534 = 108,534 : x
  2. Step 2: Convert to fraction form
    49,347/108,534 = 108,534/x
  3. Step 3: Cross multiply
    49,347x = 108,534 × 108,534
  4. Step 4: Simplify right side
    49,347x = 11,779,629,156
  5. Step 5: Solve for x
    x = 11,779,629,156/49,347
  6. Step 6: Final answer
    x = 238,710.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.