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Finding the Third Proportional to 73,696.50 and 157,752

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Solution

The third proportional to 73,696.50 and 157,752 is: 337,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,696.50 : 157,752 = 157,752 : x
  2. Step 2: Convert to fraction form
    73,696.50/157,752 = 157,752/x
  3. Step 3: Cross multiply
    73,696.50x = 157,752 × 157,752
  4. Step 4: Simplify right side
    73,696.50x = 24,885,693,504
  5. Step 5: Solve for x
    x = 24,885,693,504/73,696.50
  6. Step 6: Final answer
    x = 337,678.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.