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Finding the Third Proportional to 45,026 and 96,430

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Solution

The third proportional to 45,026 and 96,430 is: 206,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,026 : 96,430 = 96,430 : x
  2. Step 2: Convert to fraction form
    45,026/96,430 = 96,430/x
  3. Step 3: Cross multiply
    45,026x = 96,430 × 96,430
  4. Step 4: Simplify right side
    45,026x = 9,298,744,900
  5. Step 5: Solve for x
    x = 9,298,744,900/45,026
  6. Step 6: Final answer
    x = 206,519.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.