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Finding the Third Proportional to 74,740 and 111,045

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Solution

The third proportional to 74,740 and 111,045 is: 164,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,740 : 111,045 = 111,045 : x
  2. Step 2: Convert to fraction form
    74,740/111,045 = 111,045/x
  3. Step 3: Cross multiply
    74,740x = 111,045 × 111,045
  4. Step 4: Simplify right side
    74,740x = 12,330,992,025
  5. Step 5: Solve for x
    x = 12,330,992,025/74,740
  6. Step 6: Final answer
    x = 164,985.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.