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Finding the Third Proportional to 60,788 and 130,660

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Solution

The third proportional to 60,788 and 130,660 is: 280,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,788 : 130,660 = 130,660 : x
  2. Step 2: Convert to fraction form
    60,788/130,660 = 130,660/x
  3. Step 3: Cross multiply
    60,788x = 130,660 × 130,660
  4. Step 4: Simplify right side
    60,788x = 17,072,035,600
  5. Step 5: Solve for x
    x = 17,072,035,600/60,788
  6. Step 6: Final answer
    x = 280,845.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.