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Finding the Third Proportional to 72,495 and 147,027

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Solution

The third proportional to 72,495 and 147,027 is: 298,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,495 : 147,027 = 147,027 : x
  2. Step 2: Convert to fraction form
    72,495/147,027 = 147,027/x
  3. Step 3: Cross multiply
    72,495x = 147,027 × 147,027
  4. Step 4: Simplify right side
    72,495x = 21,616,938,729
  5. Step 5: Solve for x
    x = 21,616,938,729/72,495
  6. Step 6: Final answer
    x = 298,185.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.