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Finding the Third Proportional to 69,460 and 107,072

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Solution

The third proportional to 69,460 and 107,072 is: 165,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,460 : 107,072 = 107,072 : x
  2. Step 2: Convert to fraction form
    69,460/107,072 = 107,072/x
  3. Step 3: Cross multiply
    69,460x = 107,072 × 107,072
  4. Step 4: Simplify right side
    69,460x = 11,464,413,184
  5. Step 5: Solve for x
    x = 11,464,413,184/69,460
  6. Step 6: Final answer
    x = 165,050.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.