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Finding the Third Proportional to 60,828 and 130,712

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Solution

The third proportional to 60,828 and 130,712 is: 280,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,828 : 130,712 = 130,712 : x
  2. Step 2: Convert to fraction form
    60,828/130,712 = 130,712/x
  3. Step 3: Cross multiply
    60,828x = 130,712 × 130,712
  4. Step 4: Simplify right side
    60,828x = 17,085,626,944
  5. Step 5: Solve for x
    x = 17,085,626,944/60,828
  6. Step 6: Final answer
    x = 280,884.25

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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.