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Finding the Third Proportional to 60,820 and 130,696

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Solution

The third proportional to 60,820 and 130,696 is: 280,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,820 : 130,696 = 130,696 : x
  2. Step 2: Convert to fraction form
    60,820/130,696 = 130,696/x
  3. Step 3: Cross multiply
    60,820x = 130,696 × 130,696
  4. Step 4: Simplify right side
    60,820x = 17,081,444,416
  5. Step 5: Solve for x
    x = 17,081,444,416/60,820
  6. Step 6: Final answer
    x = 280,852.42

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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.