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Finding the Third Proportional to 44,004 and 68,090

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Solution

The third proportional to 44,004 and 68,090 is: 105,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,004 : 68,090 = 68,090 : x
  2. Step 2: Convert to fraction form
    44,004/68,090 = 68,090/x
  3. Step 3: Cross multiply
    44,004x = 68,090 × 68,090
  4. Step 4: Simplify right side
    44,004x = 4,636,248,100
  5. Step 5: Solve for x
    x = 4,636,248,100/44,004
  6. Step 6: Final answer
    x = 105,359.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.