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Finding the Third Proportional to 97,073 and 212,106

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Solution

The third proportional to 97,073 and 212,106 is: 463,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,073 : 212,106 = 212,106 : x
  2. Step 2: Convert to fraction form
    97,073/212,106 = 212,106/x
  3. Step 3: Cross multiply
    97,073x = 212,106 × 212,106
  4. Step 4: Simplify right side
    97,073x = 44,988,955,236
  5. Step 5: Solve for x
    x = 44,988,955,236/97,073
  6. Step 6: Final answer
    x = 463,454.88

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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.