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Finding the Third Proportional to 46,580 and 100,538

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Solution

The third proportional to 46,580 and 100,538 is: 217,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,580 : 100,538 = 100,538 : x
  2. Step 2: Convert to fraction form
    46,580/100,538 = 100,538/x
  3. Step 3: Cross multiply
    46,580x = 100,538 × 100,538
  4. Step 4: Simplify right side
    46,580x = 10,107,889,444
  5. Step 5: Solve for x
    x = 10,107,889,444/46,580
  6. Step 6: Final answer
    x = 217,000.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.