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Finding the Third Proportional to 145,644 and 195,752

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Solution

The third proportional to 145,644 and 195,752 is: 263,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,644 : 195,752 = 195,752 : x
  2. Step 2: Convert to fraction form
    145,644/195,752 = 195,752/x
  3. Step 3: Cross multiply
    145,644x = 195,752 × 195,752
  4. Step 4: Simplify right side
    145,644x = 38,318,845,504
  5. Step 5: Solve for x
    x = 38,318,845,504/145,644
  6. Step 6: Final answer
    x = 263,099.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.