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Finding the Third Proportional to 72,014 and 98,893

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Solution

The third proportional to 72,014 and 98,893 is: 135,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,014 : 98,893 = 98,893 : x
  2. Step 2: Convert to fraction form
    72,014/98,893 = 98,893/x
  3. Step 3: Cross multiply
    72,014x = 98,893 × 98,893
  4. Step 4: Simplify right side
    72,014x = 9,779,825,449
  5. Step 5: Solve for x
    x = 9,779,825,449/72,014
  6. Step 6: Final answer
    x = 135,804.50

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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.