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Finding the Third Proportional to 92,097 and 137,576

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Solution

The third proportional to 92,097 and 137,576 is: 205,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,097 : 137,576 = 137,576 : x
  2. Step 2: Convert to fraction form
    92,097/137,576 = 137,576/x
  3. Step 3: Cross multiply
    92,097x = 137,576 × 137,576
  4. Step 4: Simplify right side
    92,097x = 18,927,155,776
  5. Step 5: Solve for x
    x = 18,927,155,776/92,097
  6. Step 6: Final answer
    x = 205,513.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.