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Finding the Third Proportional to 30,301 and 62,071

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Solution

The third proportional to 30,301 and 62,071 is: 127,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,301 : 62,071 = 62,071 : x
  2. Step 2: Convert to fraction form
    30,301/62,071 = 62,071/x
  3. Step 3: Cross multiply
    30,301x = 62,071 × 62,071
  4. Step 4: Simplify right side
    30,301x = 3,852,809,041
  5. Step 5: Solve for x
    x = 3,852,809,041/30,301
  6. Step 6: Final answer
    x = 127,151.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.