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Finding the Third Proportional to 64,432 and 130,676

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Solution

The third proportional to 64,432 and 130,676 is: 265,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,432 : 130,676 = 130,676 : x
  2. Step 2: Convert to fraction form
    64,432/130,676 = 130,676/x
  3. Step 3: Cross multiply
    64,432x = 130,676 × 130,676
  4. Step 4: Simplify right side
    64,432x = 17,076,216,976
  5. Step 5: Solve for x
    x = 17,076,216,976/64,432
  6. Step 6: Final answer
    x = 265,026.96

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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.