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Finding the Third Proportional to 103,697 and 157,597

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Solution

The third proportional to 103,697 and 157,597 is: 239,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697 : 157,597 = 157,597 : x
  2. Step 2: Convert to fraction form
    103,697/157,597 = 157,597/x
  3. Step 3: Cross multiply
    103,697x = 157,597 × 157,597
  4. Step 4: Simplify right side
    103,697x = 24,836,814,409
  5. Step 5: Solve for x
    x = 24,836,814,409/103,697
  6. Step 6: Final answer
    x = 239,513.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.