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Finding the Third Proportional to 97,040 and 212,120

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Solution

The third proportional to 97,040 and 212,120 is: 463,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,040 : 212,120 = 212,120 : x
  2. Step 2: Convert to fraction form
    97,040/212,120 = 212,120/x
  3. Step 3: Cross multiply
    97,040x = 212,120 × 212,120
  4. Step 4: Simplify right side
    97,040x = 44,994,894,400
  5. Step 5: Solve for x
    x = 44,994,894,400/97,040
  6. Step 6: Final answer
    x = 463,673.69

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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.