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Finding the Third Proportional to 102,060 and 149,627.25

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Solution

The third proportional to 102,060 and 149,627.25 is: 219,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,060 : 149,627.25 = 149,627.25 : x
  2. Step 2: Convert to fraction form
    102,060/149,627.25 = 149,627.25/x
  3. Step 3: Cross multiply
    102,060x = 149,627.25 × 149,627.25
  4. Step 4: Simplify right side
    102,060x = 22,388,313,942.56
  5. Step 5: Solve for x
    x = 22,388,313,942.56/102,060
  6. Step 6: Final answer
    x = 219,364.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.