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Finding the Third Proportional to 34,164 and 72,648

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Solution

The third proportional to 34,164 and 72,648 is: 154,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164 : 72,648 = 72,648 : x
  2. Step 2: Convert to fraction form
    34,164/72,648 = 72,648/x
  3. Step 3: Cross multiply
    34,164x = 72,648 × 72,648
  4. Step 4: Simplify right side
    34,164x = 5,277,731,904
  5. Step 5: Solve for x
    x = 5,277,731,904/34,164
  6. Step 6: Final answer
    x = 154,482.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.