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Finding the Third Proportional to 75,044 and 116,349

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Solution

The third proportional to 75,044 and 116,349 is: 180,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,044 : 116,349 = 116,349 : x
  2. Step 2: Convert to fraction form
    75,044/116,349 = 116,349/x
  3. Step 3: Cross multiply
    75,044x = 116,349 × 116,349
  4. Step 4: Simplify right side
    75,044x = 13,537,089,801
  5. Step 5: Solve for x
    x = 13,537,089,801/75,044
  6. Step 6: Final answer
    x = 180,388.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.