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Finding the Third Proportional to 45,546 and 93,360

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Solution

The third proportional to 45,546 and 93,360 is: 191,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,546 : 93,360 = 93,360 : x
  2. Step 2: Convert to fraction form
    45,546/93,360 = 93,360/x
  3. Step 3: Cross multiply
    45,546x = 93,360 × 93,360
  4. Step 4: Simplify right side
    45,546x = 8,716,089,600
  5. Step 5: Solve for x
    x = 8,716,089,600/45,546
  6. Step 6: Final answer
    x = 191,368.94

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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.