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Finding the Third Proportional to 106,452 and 163,669.50

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Solution

The third proportional to 106,452 and 163,669.50 is: 251,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,452 : 163,669.50 = 163,669.50 : x
  2. Step 2: Convert to fraction form
    106,452/163,669.50 = 163,669.50/x
  3. Step 3: Cross multiply
    106,452x = 163,669.50 × 163,669.50
  4. Step 4: Simplify right side
    106,452x = 26,787,705,230.25
  5. Step 5: Solve for x
    x = 26,787,705,230.25/106,452
  6. Step 6: Final answer
    x = 251,641.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.