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Finding the Third Proportional to 92,635 and 188,547

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Solution

The third proportional to 92,635 and 188,547 is: 383,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,635 : 188,547 = 188,547 : x
  2. Step 2: Convert to fraction form
    92,635/188,547 = 188,547/x
  3. Step 3: Cross multiply
    92,635x = 188,547 × 188,547
  4. Step 4: Simplify right side
    92,635x = 35,549,971,209
  5. Step 5: Solve for x
    x = 35,549,971,209/92,635
  6. Step 6: Final answer
    x = 383,763.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.