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Finding the Third Proportional to 75,026 and 105,514

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Solution

The third proportional to 75,026 and 105,514 is: 148,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,026 : 105,514 = 105,514 : x
  2. Step 2: Convert to fraction form
    75,026/105,514 = 105,514/x
  3. Step 3: Cross multiply
    75,026x = 105,514 × 105,514
  4. Step 4: Simplify right side
    75,026x = 11,133,204,196
  5. Step 5: Solve for x
    x = 11,133,204,196/75,026
  6. Step 6: Final answer
    x = 148,391.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.