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Finding the Third Proportional to 65,070 and 135,788

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Solution

The third proportional to 65,070 and 135,788 is: 283,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,070 : 135,788 = 135,788 : x
  2. Step 2: Convert to fraction form
    65,070/135,788 = 135,788/x
  3. Step 3: Cross multiply
    65,070x = 135,788 × 135,788
  4. Step 4: Simplify right side
    65,070x = 18,438,380,944
  5. Step 5: Solve for x
    x = 18,438,380,944/65,070
  6. Step 6: Final answer
    x = 283,362.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.