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Finding the Third Proportional to 105,582 and 167,178

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Solution

The third proportional to 105,582 and 167,178 is: 264,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,582 : 167,178 = 167,178 : x
  2. Step 2: Convert to fraction form
    105,582/167,178 = 167,178/x
  3. Step 3: Cross multiply
    105,582x = 167,178 × 167,178
  4. Step 4: Simplify right side
    105,582x = 27,948,483,684
  5. Step 5: Solve for x
    x = 27,948,483,684/105,582
  6. Step 6: Final answer
    x = 264,708.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.