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Finding the Third Proportional to 71,038 and 164,027.50

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Solution

The third proportional to 71,038 and 164,027.50 is: 378,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,038 : 164,027.50 = 164,027.50 : x
  2. Step 2: Convert to fraction form
    71,038/164,027.50 = 164,027.50/x
  3. Step 3: Cross multiply
    71,038x = 164,027.50 × 164,027.50
  4. Step 4: Simplify right side
    71,038x = 26,905,020,756.25
  5. Step 5: Solve for x
    x = 26,905,020,756.25/71,038
  6. Step 6: Final answer
    x = 378,741.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.