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Finding the Third Proportional to 46,032 and 95,340

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Solution

The third proportional to 46,032 and 95,340 is: 197,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,032 : 95,340 = 95,340 : x
  2. Step 2: Convert to fraction form
    46,032/95,340 = 95,340/x
  3. Step 3: Cross multiply
    46,032x = 95,340 × 95,340
  4. Step 4: Simplify right side
    46,032x = 9,089,715,600
  5. Step 5: Solve for x
    x = 9,089,715,600/46,032
  6. Step 6: Final answer
    x = 197,465.15

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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.