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Finding the Third Proportional to 64,804 and 135,440

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Solution

The third proportional to 64,804 and 135,440 is: 283,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,804 : 135,440 = 135,440 : x
  2. Step 2: Convert to fraction form
    64,804/135,440 = 135,440/x
  3. Step 3: Cross multiply
    64,804x = 135,440 × 135,440
  4. Step 4: Simplify right side
    64,804x = 18,343,993,600
  5. Step 5: Solve for x
    x = 18,343,993,600/64,804
  6. Step 6: Final answer
    x = 283,068.85

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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.