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Finding the Third Proportional to 102,697 and 137,365

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Solution

The third proportional to 102,697 and 137,365 is: 183,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,697 : 137,365 = 137,365 : x
  2. Step 2: Convert to fraction form
    102,697/137,365 = 137,365/x
  3. Step 3: Cross multiply
    102,697x = 137,365 × 137,365
  4. Step 4: Simplify right side
    102,697x = 18,869,143,225
  5. Step 5: Solve for x
    x = 18,869,143,225/102,697
  6. Step 6: Final answer
    x = 183,736.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.