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Finding the Third Proportional to 63,434 and 130,708

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Solution

The third proportional to 63,434 and 130,708 is: 269,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,434 : 130,708 = 130,708 : x
  2. Step 2: Convert to fraction form
    63,434/130,708 = 130,708/x
  3. Step 3: Cross multiply
    63,434x = 130,708 × 130,708
  4. Step 4: Simplify right side
    63,434x = 17,084,581,264
  5. Step 5: Solve for x
    x = 17,084,581,264/63,434
  6. Step 6: Final answer
    x = 269,328.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.