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Finding the Third Proportional to 45,194 and 93,532

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Solution

The third proportional to 45,194 and 93,532 is: 193,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,194 : 93,532 = 93,532 : x
  2. Step 2: Convert to fraction form
    45,194/93,532 = 93,532/x
  3. Step 3: Cross multiply
    45,194x = 93,532 × 93,532
  4. Step 4: Simplify right side
    45,194x = 8,748,235,024
  5. Step 5: Solve for x
    x = 8,748,235,024/45,194
  6. Step 6: Final answer
    x = 193,570.72

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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.