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Finding the Third Proportional to 175,042 and 193,088

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Solution

The third proportional to 175,042 and 193,088 is: 212,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,042 : 193,088 = 193,088 : x
  2. Step 2: Convert to fraction form
    175,042/193,088 = 193,088/x
  3. Step 3: Cross multiply
    175,042x = 193,088 × 193,088
  4. Step 4: Simplify right side
    175,042x = 37,282,975,744
  5. Step 5: Solve for x
    x = 37,282,975,744/175,042
  6. Step 6: Final answer
    x = 212,994.46

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.