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Finding the Third Proportional to 60,282 and 130,608

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Solution

The third proportional to 60,282 and 130,608 is: 282,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,282 : 130,608 = 130,608 : x
  2. Step 2: Convert to fraction form
    60,282/130,608 = 130,608/x
  3. Step 3: Cross multiply
    60,282x = 130,608 × 130,608
  4. Step 4: Simplify right side
    60,282x = 17,058,449,664
  5. Step 5: Solve for x
    x = 17,058,449,664/60,282
  6. Step 6: Final answer
    x = 282,977.50

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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.