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Finding the Third Proportional to 74,705.63 and 111,000.38

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Solution

The third proportional to 74,705.63 and 111,000.38 is: 164,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,705.63 : 111,000.38 = 111,000.38 : x
  2. Step 2: Convert to fraction form
    74,705.63/111,000.38 = 111,000.38/x
  3. Step 3: Cross multiply
    74,705.63x = 111,000.38 × 111,000.38
  4. Step 4: Simplify right side
    74,705.63x = 12,321,083,250.14
  5. Step 5: Solve for x
    x = 12,321,083,250.14/74,705.63
  6. Step 6: Final answer
    x = 164,928.45

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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.