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Finding the Third Proportional to 60,009 and 130,598

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Solution

The third proportional to 60,009 and 130,598 is: 284,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,009 : 130,598 = 130,598 : x
  2. Step 2: Convert to fraction form
    60,009/130,598 = 130,598/x
  3. Step 3: Cross multiply
    60,009x = 130,598 × 130,598
  4. Step 4: Simplify right side
    60,009x = 17,055,837,604
  5. Step 5: Solve for x
    x = 17,055,837,604/60,009
  6. Step 6: Final answer
    x = 284,221.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.