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Finding the Third Proportional to 68,088 and 103,538

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Solution

The third proportional to 68,088 and 103,538 is: 157,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,088 : 103,538 = 103,538 : x
  2. Step 2: Convert to fraction form
    68,088/103,538 = 103,538/x
  3. Step 3: Cross multiply
    68,088x = 103,538 × 103,538
  4. Step 4: Simplify right side
    68,088x = 10,720,117,444
  5. Step 5: Solve for x
    x = 10,720,117,444/68,088
  6. Step 6: Final answer
    x = 157,445.03

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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.