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Finding the Third Proportional to 63,855 and 102,886.88

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Solution

The third proportional to 63,855 and 102,886.88 is: 165,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,855 : 102,886.88 = 102,886.88 : x
  2. Step 2: Convert to fraction form
    63,855/102,886.88 = 102,886.88/x
  3. Step 3: Cross multiply
    63,855x = 102,886.88 × 102,886.88
  4. Step 4: Simplify right side
    63,855x = 10,585,709,047.27
  5. Step 5: Solve for x
    x = 10,585,709,047.27/63,855
  6. Step 6: Final answer
    x = 165,777.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.