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Finding the Third Proportional to 61,407 and 94,823

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Solution

The third proportional to 61,407 and 94,823 is: 146,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,407 : 94,823 = 94,823 : x
  2. Step 2: Convert to fraction form
    61,407/94,823 = 94,823/x
  3. Step 3: Cross multiply
    61,407x = 94,823 × 94,823
  4. Step 4: Simplify right side
    61,407x = 8,991,401,329
  5. Step 5: Solve for x
    x = 8,991,401,329/61,407
  6. Step 6: Final answer
    x = 146,423.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.