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Finding the Third Proportional to 45,543 and 93,354

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Solution

The third proportional to 45,543 and 93,354 is: 191,356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,543 : 93,354 = 93,354 : x
  2. Step 2: Convert to fraction form
    45,543/93,354 = 93,354/x
  3. Step 3: Cross multiply
    45,543x = 93,354 × 93,354
  4. Step 4: Simplify right side
    45,543x = 8,714,969,316
  5. Step 5: Solve for x
    x = 8,714,969,316/45,543
  6. Step 6: Final answer
    x = 191,356.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.