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Finding the Third Proportional to 42,698 and 93,052

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Solution

The third proportional to 42,698 and 93,052 is: 202,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,698 : 93,052 = 93,052 : x
  2. Step 2: Convert to fraction form
    42,698/93,052 = 93,052/x
  3. Step 3: Cross multiply
    42,698x = 93,052 × 93,052
  4. Step 4: Simplify right side
    42,698x = 8,658,674,704
  5. Step 5: Solve for x
    x = 8,658,674,704/42,698
  6. Step 6: Final answer
    x = 202,788.77

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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.