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Finding the Third Proportional to 65,820 and 142,148

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Solution

The third proportional to 65,820 and 142,148 is: 306,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,820 : 142,148 = 142,148 : x
  2. Step 2: Convert to fraction form
    65,820/142,148 = 142,148/x
  3. Step 3: Cross multiply
    65,820x = 142,148 × 142,148
  4. Step 4: Simplify right side
    65,820x = 20,206,053,904
  5. Step 5: Solve for x
    x = 20,206,053,904/65,820
  6. Step 6: Final answer
    x = 306,989.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.