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Finding the Third Proportional to 103,526 and 141,438

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Solution

The third proportional to 103,526 and 141,438 is: 193,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,526 : 141,438 = 141,438 : x
  2. Step 2: Convert to fraction form
    103,526/141,438 = 141,438/x
  3. Step 3: Cross multiply
    103,526x = 141,438 × 141,438
  4. Step 4: Simplify right side
    103,526x = 20,004,707,844
  5. Step 5: Solve for x
    x = 20,004,707,844/103,526
  6. Step 6: Final answer
    x = 193,233.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.