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Finding the Third Proportional to 145,992 and 191,700

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Solution

The third proportional to 145,992 and 191,700 is: 251,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,992 : 191,700 = 191,700 : x
  2. Step 2: Convert to fraction form
    145,992/191,700 = 191,700/x
  3. Step 3: Cross multiply
    145,992x = 191,700 × 191,700
  4. Step 4: Simplify right side
    145,992x = 36,748,890,000
  5. Step 5: Solve for x
    x = 36,748,890,000/145,992
  6. Step 6: Final answer
    x = 251,718.52

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.