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Finding the Third Proportional to 42,153 and 90,558

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Solution

The third proportional to 42,153 and 90,558 is: 194,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,153 : 90,558 = 90,558 : x
  2. Step 2: Convert to fraction form
    42,153/90,558 = 90,558/x
  3. Step 3: Cross multiply
    42,153x = 90,558 × 90,558
  4. Step 4: Simplify right side
    42,153x = 8,200,751,364
  5. Step 5: Solve for x
    x = 8,200,751,364/42,153
  6. Step 6: Final answer
    x = 194,547.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.