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Finding the Third Proportional to 45,364 and 93,032

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Solution

The third proportional to 45,364 and 93,032 is: 190,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,364 : 93,032 = 93,032 : x
  2. Step 2: Convert to fraction form
    45,364/93,032 = 93,032/x
  3. Step 3: Cross multiply
    45,364x = 93,032 × 93,032
  4. Step 4: Simplify right side
    45,364x = 8,654,953,024
  5. Step 5: Solve for x
    x = 8,654,953,024/45,364
  6. Step 6: Final answer
    x = 190,789.02

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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.