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Finding the Third Proportional to 108,004 and 145,394

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Solution

The third proportional to 108,004 and 145,394 is: 195,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,004 : 145,394 = 145,394 : x
  2. Step 2: Convert to fraction form
    108,004/145,394 = 145,394/x
  3. Step 3: Cross multiply
    108,004x = 145,394 × 145,394
  4. Step 4: Simplify right side
    108,004x = 21,139,415,236
  5. Step 5: Solve for x
    x = 21,139,415,236/108,004
  6. Step 6: Final answer
    x = 195,728.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.