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Finding the Third Proportional to 45,040 and 98,007

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Solution

The third proportional to 45,040 and 98,007 is: 213,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,040 : 98,007 = 98,007 : x
  2. Step 2: Convert to fraction form
    45,040/98,007 = 98,007/x
  3. Step 3: Cross multiply
    45,040x = 98,007 × 98,007
  4. Step 4: Simplify right side
    45,040x = 9,605,372,049
  5. Step 5: Solve for x
    x = 9,605,372,049/45,040
  6. Step 6: Final answer
    x = 213,263.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.