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Finding the Third Proportional to 94,719 and 146,300.25

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Solution

The third proportional to 94,719 and 146,300.25 is: 225,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,719 : 146,300.25 = 146,300.25 : x
  2. Step 2: Convert to fraction form
    94,719/146,300.25 = 146,300.25/x
  3. Step 3: Cross multiply
    94,719x = 146,300.25 × 146,300.25
  4. Step 4: Simplify right side
    94,719x = 21,403,763,150.06
  5. Step 5: Solve for x
    x = 21,403,763,150.06/94,719
  6. Step 6: Final answer
    x = 225,971.17

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