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Finding the Third Proportional to 30,345 and 62,202

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Solution

The third proportional to 30,345 and 62,202 is: 127,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,345 : 62,202 = 62,202 : x
  2. Step 2: Convert to fraction form
    30,345/62,202 = 62,202/x
  3. Step 3: Cross multiply
    30,345x = 62,202 × 62,202
  4. Step 4: Simplify right side
    30,345x = 3,869,088,804
  5. Step 5: Solve for x
    x = 3,869,088,804/30,345
  6. Step 6: Final answer
    x = 127,503.34

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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.