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Finding the Third Proportional to 67,358 and 103,083

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Solution

The third proportional to 67,358 and 103,083 is: 157,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,358 : 103,083 = 103,083 : x
  2. Step 2: Convert to fraction form
    67,358/103,083 = 103,083/x
  3. Step 3: Cross multiply
    67,358x = 103,083 × 103,083
  4. Step 4: Simplify right side
    67,358x = 10,626,104,889
  5. Step 5: Solve for x
    x = 10,626,104,889/67,358
  6. Step 6: Final answer
    x = 157,755.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.