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Finding the Third Proportional to 63,295 and 137,929

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Solution

The third proportional to 63,295 and 137,929 is: 300,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,295 : 137,929 = 137,929 : x
  2. Step 2: Convert to fraction form
    63,295/137,929 = 137,929/x
  3. Step 3: Cross multiply
    63,295x = 137,929 × 137,929
  4. Step 4: Simplify right side
    63,295x = 19,024,409,041
  5. Step 5: Solve for x
    x = 19,024,409,041/63,295
  6. Step 6: Final answer
    x = 300,567.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.