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Finding the Third Proportional to 72,906 and 158,988

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Solution

The third proportional to 72,906 and 158,988 is: 346,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,906 : 158,988 = 158,988 : x
  2. Step 2: Convert to fraction form
    72,906/158,988 = 158,988/x
  3. Step 3: Cross multiply
    72,906x = 158,988 × 158,988
  4. Step 4: Simplify right side
    72,906x = 25,277,184,144
  5. Step 5: Solve for x
    x = 25,277,184,144/72,906
  6. Step 6: Final answer
    x = 346,709.24

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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.