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Finding the Third Proportional to 74,601 and 115,683.19

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Solution

The third proportional to 74,601 and 115,683.19 is: 179,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,601 : 115,683.19 = 115,683.19 : x
  2. Step 2: Convert to fraction form
    74,601/115,683.19 = 115,683.19/x
  3. Step 3: Cross multiply
    74,601x = 115,683.19 × 115,683.19
  4. Step 4: Simplify right side
    74,601x = 13,382,599,870.16
  5. Step 5: Solve for x
    x = 13,382,599,870.16/74,601
  6. Step 6: Final answer
    x = 179,389.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.