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Finding the Third Proportional to 93,928 and 137,436

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Solution

The third proportional to 93,928 and 137,436 is: 201,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,928 : 137,436 = 137,436 : x
  2. Step 2: Convert to fraction form
    93,928/137,436 = 137,436/x
  3. Step 3: Cross multiply
    93,928x = 137,436 × 137,436
  4. Step 4: Simplify right side
    93,928x = 18,888,654,096
  5. Step 5: Solve for x
    x = 18,888,654,096/93,928
  6. Step 6: Final answer
    x = 201,097.16

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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.