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Finding the Third Proportional to 97,071 and 212,102

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Solution

The third proportional to 97,071 and 212,102 is: 463,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,071 : 212,102 = 212,102 : x
  2. Step 2: Convert to fraction form
    97,071/212,102 = 212,102/x
  3. Step 3: Cross multiply
    97,071x = 212,102 × 212,102
  4. Step 4: Simplify right side
    97,071x = 44,987,258,404
  5. Step 5: Solve for x
    x = 44,987,258,404/97,071
  6. Step 6: Final answer
    x = 463,446.95

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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.