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Finding the Third Proportional to 69,174 and 97,146

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Solution

The third proportional to 69,174 and 97,146 is: 136,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,174 : 97,146 = 97,146 : x
  2. Step 2: Convert to fraction form
    69,174/97,146 = 97,146/x
  3. Step 3: Cross multiply
    69,174x = 97,146 × 97,146
  4. Step 4: Simplify right side
    69,174x = 9,437,345,316
  5. Step 5: Solve for x
    x = 9,437,345,316/69,174
  6. Step 6: Final answer
    x = 136,429.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.