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Finding the Third Proportional to 72,012 and 98,890

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Solution

The third proportional to 72,012 and 98,890 is: 135,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,012 : 98,890 = 98,890 : x
  2. Step 2: Convert to fraction form
    72,012/98,890 = 98,890/x
  3. Step 3: Cross multiply
    72,012x = 98,890 × 98,890
  4. Step 4: Simplify right side
    72,012x = 9,779,232,100
  5. Step 5: Solve for x
    x = 9,779,232,100/72,012
  6. Step 6: Final answer
    x = 135,800.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.