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Finding the Third Proportional to 43,239 and 93,148

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Solution

The third proportional to 43,239 and 93,148 is: 200,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,239 : 93,148 = 93,148 : x
  2. Step 2: Convert to fraction form
    43,239/93,148 = 93,148/x
  3. Step 3: Cross multiply
    43,239x = 93,148 × 93,148
  4. Step 4: Simplify right side
    43,239x = 8,676,549,904
  5. Step 5: Solve for x
    x = 8,676,549,904/43,239
  6. Step 6: Final answer
    x = 200,664.91

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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.