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Finding the Third Proportional to 61,405 and 94,820

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Solution

The third proportional to 61,405 and 94,820 is: 146,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,405 : 94,820 = 94,820 : x
  2. Step 2: Convert to fraction form
    61,405/94,820 = 94,820/x
  3. Step 3: Cross multiply
    61,405x = 94,820 × 94,820
  4. Step 4: Simplify right side
    61,405x = 8,990,832,400
  5. Step 5: Solve for x
    x = 8,990,832,400/61,405
  6. Step 6: Final answer
    x = 146,418.57

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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.