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Finding the Third Proportional to 103,514 and 160,343

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Solution

The third proportional to 103,514 and 160,343 is: 248,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,514 : 160,343 = 160,343 : x
  2. Step 2: Convert to fraction form
    103,514/160,343 = 160,343/x
  3. Step 3: Cross multiply
    103,514x = 160,343 × 160,343
  4. Step 4: Simplify right side
    103,514x = 25,709,877,649
  5. Step 5: Solve for x
    x = 25,709,877,649/103,514
  6. Step 6: Final answer
    x = 248,371.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.