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Finding the Third Proportional to 106,029 and 162,445.50

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Solution

The third proportional to 106,029 and 162,445.50 is: 248,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,029 : 162,445.50 = 162,445.50 : x
  2. Step 2: Convert to fraction form
    106,029/162,445.50 = 162,445.50/x
  3. Step 3: Cross multiply
    106,029x = 162,445.50 × 162,445.50
  4. Step 4: Simplify right side
    106,029x = 26,388,540,470.25
  5. Step 5: Solve for x
    x = 26,388,540,470.25/106,029
  6. Step 6: Final answer
    x = 248,880.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.