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Finding the Third Proportional to 91,560 and 196,925

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Solution

The third proportional to 91,560 and 196,925 is: 423,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,560 : 196,925 = 196,925 : x
  2. Step 2: Convert to fraction form
    91,560/196,925 = 196,925/x
  3. Step 3: Cross multiply
    91,560x = 196,925 × 196,925
  4. Step 4: Simplify right side
    91,560x = 38,779,455,625
  5. Step 5: Solve for x
    x = 38,779,455,625/91,560
  6. Step 6: Final answer
    x = 423,541.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.