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Finding the Third Proportional to 42,881 and 93,178

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Solution

The third proportional to 42,881 and 93,178 is: 202,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,881 : 93,178 = 93,178 : x
  2. Step 2: Convert to fraction form
    42,881/93,178 = 93,178/x
  3. Step 3: Cross multiply
    42,881x = 93,178 × 93,178
  4. Step 4: Simplify right side
    42,881x = 8,682,139,684
  5. Step 5: Solve for x
    x = 8,682,139,684/42,881
  6. Step 6: Final answer
    x = 202,470.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.