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Finding the Third Proportional to 71,125.88 and 164,237.06

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Solution

The third proportional to 71,125.88 and 164,237.06 is: 379,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,125.88 : 164,237.06 = 164,237.06 : x
  2. Step 2: Convert to fraction form
    71,125.88/164,237.06 = 164,237.06/x
  3. Step 3: Cross multiply
    71,125.88x = 164,237.06 × 164,237.06
  4. Step 4: Simplify right side
    71,125.88x = 26,973,812,698.63
  5. Step 5: Solve for x
    x = 26,973,812,698.63/71,125.88
  6. Step 6: Final answer
    x = 379,240.50

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