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Finding the Third Proportional to 45,349.50 and 105,897

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Solution

The third proportional to 45,349.50 and 105,897 is: 247,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,349.50 : 105,897 = 105,897 : x
  2. Step 2: Convert to fraction form
    45,349.50/105,897 = 105,897/x
  3. Step 3: Cross multiply
    45,349.50x = 105,897 × 105,897
  4. Step 4: Simplify right side
    45,349.50x = 11,214,174,609
  5. Step 5: Solve for x
    x = 11,214,174,609/45,349.50
  6. Step 6: Final answer
    x = 247,283.31

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.