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Finding the Third Proportional to 63,187 and 95,036

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Solution

The third proportional to 63,187 and 95,036 is: 142,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,187 : 95,036 = 95,036 : x
  2. Step 2: Convert to fraction form
    63,187/95,036 = 95,036/x
  3. Step 3: Cross multiply
    63,187x = 95,036 × 95,036
  4. Step 4: Simplify right side
    63,187x = 9,031,841,296
  5. Step 5: Solve for x
    x = 9,031,841,296/63,187
  6. Step 6: Final answer
    x = 142,938.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.