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Finding the Third Proportional to 107,044 and 253,148

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Solution

The third proportional to 107,044 and 253,148 is: 598,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,044 : 253,148 = 253,148 : x
  2. Step 2: Convert to fraction form
    107,044/253,148 = 253,148/x
  3. Step 3: Cross multiply
    107,044x = 253,148 × 253,148
  4. Step 4: Simplify right side
    107,044x = 64,083,909,904
  5. Step 5: Solve for x
    x = 64,083,909,904/107,044
  6. Step 6: Final answer
    x = 598,668.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.