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Finding the Third Proportional to 60,827 and 130,650

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Solution

The third proportional to 60,827 and 130,650 is: 280,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,827 : 130,650 = 130,650 : x
  2. Step 2: Convert to fraction form
    60,827/130,650 = 130,650/x
  3. Step 3: Cross multiply
    60,827x = 130,650 × 130,650
  4. Step 4: Simplify right side
    60,827x = 17,069,422,500
  5. Step 5: Solve for x
    x = 17,069,422,500/60,827
  6. Step 6: Final answer
    x = 280,622.46

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