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Finding the Third Proportional to 96,174 and 210,047

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Solution

The third proportional to 96,174 and 210,047 is: 458,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,174 : 210,047 = 210,047 : x
  2. Step 2: Convert to fraction form
    96,174/210,047 = 210,047/x
  3. Step 3: Cross multiply
    96,174x = 210,047 × 210,047
  4. Step 4: Simplify right side
    96,174x = 44,119,742,209
  5. Step 5: Solve for x
    x = 44,119,742,209/96,174
  6. Step 6: Final answer
    x = 458,749.17

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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.