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Finding the Third Proportional to 94,836 and 138,348

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Solution

The third proportional to 94,836 and 138,348 is: 201,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,836 : 138,348 = 138,348 : x
  2. Step 2: Convert to fraction form
    94,836/138,348 = 138,348/x
  3. Step 3: Cross multiply
    94,836x = 138,348 × 138,348
  4. Step 4: Simplify right side
    94,836x = 19,140,169,104
  5. Step 5: Solve for x
    x = 19,140,169,104/94,836
  6. Step 6: Final answer
    x = 201,823.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.