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Finding the Third Proportional to 104,004 and 154,477.13

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Solution

The third proportional to 104,004 and 154,477.13 is: 229,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,004 : 154,477.13 = 154,477.13 : x
  2. Step 2: Convert to fraction form
    104,004/154,477.13 = 154,477.13/x
  3. Step 3: Cross multiply
    104,004x = 154,477.13 × 154,477.13
  4. Step 4: Simplify right side
    104,004x = 23,863,182,148.27
  5. Step 5: Solve for x
    x = 23,863,182,148.27/104,004
  6. Step 6: Final answer
    x = 229,444.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.