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Finding the Third Proportional to 85,698 and 177,354

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Solution

The third proportional to 85,698 and 177,354 is: 367,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,698 : 177,354 = 177,354 : x
  2. Step 2: Convert to fraction form
    85,698/177,354 = 177,354/x
  3. Step 3: Cross multiply
    85,698x = 177,354 × 177,354
  4. Step 4: Simplify right side
    85,698x = 31,454,441,316
  5. Step 5: Solve for x
    x = 31,454,441,316/85,698
  6. Step 6: Final answer
    x = 367,038.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.