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Finding the Third Proportional to 65,026.50 and 102,993

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Solution

The third proportional to 65,026.50 and 102,993 is: 163,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,026.50 : 102,993 = 102,993 : x
  2. Step 2: Convert to fraction form
    65,026.50/102,993 = 102,993/x
  3. Step 3: Cross multiply
    65,026.50x = 102,993 × 102,993
  4. Step 4: Simplify right side
    65,026.50x = 10,607,558,049
  5. Step 5: Solve for x
    x = 10,607,558,049/65,026.50
  6. Step 6: Final answer
    x = 163,126.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.