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Finding the Third Proportional to 70,095 and 154,202.25

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Solution

The third proportional to 70,095 and 154,202.25 is: 339,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,095 : 154,202.25 = 154,202.25 : x
  2. Step 2: Convert to fraction form
    70,095/154,202.25 = 154,202.25/x
  3. Step 3: Cross multiply
    70,095x = 154,202.25 × 154,202.25
  4. Step 4: Simplify right side
    70,095x = 23,778,333,905.06
  5. Step 5: Solve for x
    x = 23,778,333,905.06/70,095
  6. Step 6: Final answer
    x = 339,230.10

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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.