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Finding the Third Proportional to 77,301 and 162,897

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Solution

The third proportional to 77,301 and 162,897 is: 343,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,301 : 162,897 = 162,897 : x
  2. Step 2: Convert to fraction form
    77,301/162,897 = 162,897/x
  3. Step 3: Cross multiply
    77,301x = 162,897 × 162,897
  4. Step 4: Simplify right side
    77,301x = 26,535,432,609
  5. Step 5: Solve for x
    x = 26,535,432,609/77,301
  6. Step 6: Final answer
    x = 343,274.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.