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Finding the Third Proportional to 61,004 and 97,401

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Solution

The third proportional to 61,004 and 97,401 is: 155,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,004 : 97,401 = 97,401 : x
  2. Step 2: Convert to fraction form
    61,004/97,401 = 97,401/x
  3. Step 3: Cross multiply
    61,004x = 97,401 × 97,401
  4. Step 4: Simplify right side
    61,004x = 9,486,954,801
  5. Step 5: Solve for x
    x = 9,486,954,801/61,004
  6. Step 6: Final answer
    x = 155,513.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.