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Finding the Third Proportional to 65,888 and 144,897

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Solution

The third proportional to 65,888 and 144,897 is: 318,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,888 : 144,897 = 144,897 : x
  2. Step 2: Convert to fraction form
    65,888/144,897 = 144,897/x
  3. Step 3: Cross multiply
    65,888x = 144,897 × 144,897
  4. Step 4: Simplify right side
    65,888x = 20,995,140,609
  5. Step 5: Solve for x
    x = 20,995,140,609/65,888
  6. Step 6: Final answer
    x = 318,648.93

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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.