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Finding the Third Proportional to 65,362.50 and 100,980

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Solution

The third proportional to 65,362.50 and 100,980 is: 156,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,362.50 : 100,980 = 100,980 : x
  2. Step 2: Convert to fraction form
    65,362.50/100,980 = 100,980/x
  3. Step 3: Cross multiply
    65,362.50x = 100,980 × 100,980
  4. Step 4: Simplify right side
    65,362.50x = 10,196,960,400
  5. Step 5: Solve for x
    x = 10,196,960,400/65,362.50
  6. Step 6: Final answer
    x = 156,006.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.