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Finding the Third Proportional to 75,044 and 160,130

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Solution

The third proportional to 75,044 and 160,130 is: 341,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,044 : 160,130 = 160,130 : x
  2. Step 2: Convert to fraction form
    75,044/160,130 = 160,130/x
  3. Step 3: Cross multiply
    75,044x = 160,130 × 160,130
  4. Step 4: Simplify right side
    75,044x = 25,641,616,900
  5. Step 5: Solve for x
    x = 25,641,616,900/75,044
  6. Step 6: Final answer
    x = 341,687.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.