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Finding the Third Proportional to 103,032 and 162,845.44

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Solution

The third proportional to 103,032 and 162,845.44 is: 257,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,032 : 162,845.44 = 162,845.44 : x
  2. Step 2: Convert to fraction form
    103,032/162,845.44 = 162,845.44/x
  3. Step 3: Cross multiply
    103,032x = 162,845.44 × 162,845.44
  4. Step 4: Simplify right side
    103,032x = 26,518,636,514.57
  5. Step 5: Solve for x
    x = 26,518,636,514.57/103,032
  6. Step 6: Final answer
    x = 257,382.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.