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Finding the Third Proportional to 68,526 and 102,791

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Solution

The third proportional to 68,526 and 102,791 is: 154,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,526 : 102,791 = 102,791 : x
  2. Step 2: Convert to fraction form
    68,526/102,791 = 102,791/x
  3. Step 3: Cross multiply
    68,526x = 102,791 × 102,791
  4. Step 4: Simplify right side
    68,526x = 10,565,989,681
  5. Step 5: Solve for x
    x = 10,565,989,681/68,526
  6. Step 6: Final answer
    x = 154,189.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.