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Finding the Third Proportional to 97,370 and 212,762

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Solution

The third proportional to 97,370 and 212,762 is: 464,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,370 : 212,762 = 212,762 : x
  2. Step 2: Convert to fraction form
    97,370/212,762 = 212,762/x
  3. Step 3: Cross multiply
    97,370x = 212,762 × 212,762
  4. Step 4: Simplify right side
    97,370x = 45,267,668,644
  5. Step 5: Solve for x
    x = 45,267,668,644/97,370
  6. Step 6: Final answer
    x = 464,903.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.