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Finding the Third Proportional to 86,538 and 129,807

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Solution

The third proportional to 86,538 and 129,807 is: 194,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,538 : 129,807 = 129,807 : x
  2. Step 2: Convert to fraction form
    86,538/129,807 = 129,807/x
  3. Step 3: Cross multiply
    86,538x = 129,807 × 129,807
  4. Step 4: Simplify right side
    86,538x = 16,849,857,249
  5. Step 5: Solve for x
    x = 16,849,857,249/86,538
  6. Step 6: Final answer
    x = 194,710.50

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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.