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Finding the Third Proportional to 76,480 and 167,072

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Solution

The third proportional to 76,480 and 167,072 is: 364,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,480 : 167,072 = 167,072 : x
  2. Step 2: Convert to fraction form
    76,480/167,072 = 167,072/x
  3. Step 3: Cross multiply
    76,480x = 167,072 × 167,072
  4. Step 4: Simplify right side
    76,480x = 27,913,053,184
  5. Step 5: Solve for x
    x = 27,913,053,184/76,480
  6. Step 6: Final answer
    x = 364,971.93

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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.