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Finding the Third Proportional to 30,260 and 64,180

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Solution

The third proportional to 30,260 and 64,180 is: 136,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,260 : 64,180 = 64,180 : x
  2. Step 2: Convert to fraction form
    30,260/64,180 = 64,180/x
  3. Step 3: Cross multiply
    30,260x = 64,180 × 64,180
  4. Step 4: Simplify right side
    30,260x = 4,119,072,400
  5. Step 5: Solve for x
    x = 4,119,072,400/30,260
  6. Step 6: Final answer
    x = 136,122.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.