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Finding the Third Proportional to 45,658 and 99,623

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Solution

The third proportional to 45,658 and 99,623 is: 217,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,658 : 99,623 = 99,623 : x
  2. Step 2: Convert to fraction form
    45,658/99,623 = 99,623/x
  3. Step 3: Cross multiply
    45,658x = 99,623 × 99,623
  4. Step 4: Simplify right side
    45,658x = 9,924,742,129
  5. Step 5: Solve for x
    x = 9,924,742,129/45,658
  6. Step 6: Final answer
    x = 217,371.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.