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Finding the Third Proportional to 63,556 and 137,106

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Solution

The third proportional to 63,556 and 137,106 is: 295,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,556 : 137,106 = 137,106 : x
  2. Step 2: Convert to fraction form
    63,556/137,106 = 137,106/x
  3. Step 3: Cross multiply
    63,556x = 137,106 × 137,106
  4. Step 4: Simplify right side
    63,556x = 18,798,055,236
  5. Step 5: Solve for x
    x = 18,798,055,236/63,556
  6. Step 6: Final answer
    x = 295,771.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.