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Finding the Third Proportional to 44,901 and 98,145

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Solution

The third proportional to 44,901 and 98,145 is: 214,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,901 : 98,145 = 98,145 : x
  2. Step 2: Convert to fraction form
    44,901/98,145 = 98,145/x
  3. Step 3: Cross multiply
    44,901x = 98,145 × 98,145
  4. Step 4: Simplify right side
    44,901x = 9,632,441,025
  5. Step 5: Solve for x
    x = 9,632,441,025/44,901
  6. Step 6: Final answer
    x = 214,526.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.