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Finding the Third Proportional to 72,603 and 114,094.50

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Solution

The third proportional to 72,603 and 114,094.50 is: 179,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,603 : 114,094.50 = 114,094.50 : x
  2. Step 2: Convert to fraction form
    72,603/114,094.50 = 114,094.50/x
  3. Step 3: Cross multiply
    72,603x = 114,094.50 × 114,094.50
  4. Step 4: Simplify right side
    72,603x = 13,017,554,930.25
  5. Step 5: Solve for x
    x = 13,017,554,930.25/72,603
  6. Step 6: Final answer
    x = 179,297.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.