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Finding the Third Proportional to 97,174 and 211,724

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Solution

The third proportional to 97,174 and 211,724 is: 461,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,174 : 211,724 = 211,724 : x
  2. Step 2: Convert to fraction form
    97,174/211,724 = 211,724/x
  3. Step 3: Cross multiply
    97,174x = 211,724 × 211,724
  4. Step 4: Simplify right side
    97,174x = 44,827,052,176
  5. Step 5: Solve for x
    x = 44,827,052,176/97,174
  6. Step 6: Final answer
    x = 461,307.06

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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.