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Finding the Third Proportional to 74,123.44 and 163,007.44

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Solution

The third proportional to 74,123.44 and 163,007.44 is: 358,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,123.44 : 163,007.44 = 163,007.44 : x
  2. Step 2: Convert to fraction form
    74,123.44/163,007.44 = 163,007.44/x
  3. Step 3: Cross multiply
    74,123.44x = 163,007.44 × 163,007.44
  4. Step 4: Simplify right side
    74,123.44x = 26,571,424,680.32
  5. Step 5: Solve for x
    x = 26,571,424,680.32/74,123.44
  6. Step 6: Final answer
    x = 358,475.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.