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Finding the Third Proportional to 60,012 and 130,203

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Solution

The third proportional to 60,012 and 130,203 is: 282,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,012 : 130,203 = 130,203 : x
  2. Step 2: Convert to fraction form
    60,012/130,203 = 130,203/x
  3. Step 3: Cross multiply
    60,012x = 130,203 × 130,203
  4. Step 4: Simplify right side
    60,012x = 16,952,821,209
  5. Step 5: Solve for x
    x = 16,952,821,209/60,012
  6. Step 6: Final answer
    x = 282,490.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.