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Finding the Third Proportional to 45,409 and 97,804

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Solution

The third proportional to 45,409 and 97,804 is: 210,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,409 : 97,804 = 97,804 : x
  2. Step 2: Convert to fraction form
    45,409/97,804 = 97,804/x
  3. Step 3: Cross multiply
    45,409x = 97,804 × 97,804
  4. Step 4: Simplify right side
    45,409x = 9,565,622,416
  5. Step 5: Solve for x
    x = 9,565,622,416/45,409
  6. Step 6: Final answer
    x = 210,654.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.