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Finding the Third Proportional to 64,435 and 130,682

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Solution

The third proportional to 64,435 and 130,682 is: 265,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,435 : 130,682 = 130,682 : x
  2. Step 2: Convert to fraction form
    64,435/130,682 = 130,682/x
  3. Step 3: Cross multiply
    64,435x = 130,682 × 130,682
  4. Step 4: Simplify right side
    64,435x = 17,077,785,124
  5. Step 5: Solve for x
    x = 17,077,785,124/64,435
  6. Step 6: Final answer
    x = 265,038.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.