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Finding the Third Proportional to 72,031 and 155,603

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Solution

The third proportional to 72,031 and 155,603 is: 336,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,031 : 155,603 = 155,603 : x
  2. Step 2: Convert to fraction form
    72,031/155,603 = 155,603/x
  3. Step 3: Cross multiply
    72,031x = 155,603 × 155,603
  4. Step 4: Simplify right side
    72,031x = 24,212,293,609
  5. Step 5: Solve for x
    x = 24,212,293,609/72,031
  6. Step 6: Final answer
    x = 336,137.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.