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Finding the Third Proportional to 65,003.25 and 99,870.25

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Solution

The third proportional to 65,003.25 and 99,870.25 is: 153,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,003.25 : 99,870.25 = 99,870.25 : x
  2. Step 2: Convert to fraction form
    65,003.25/99,870.25 = 99,870.25/x
  3. Step 3: Cross multiply
    65,003.25x = 99,870.25 × 99,870.25
  4. Step 4: Simplify right side
    65,003.25x = 9,974,066,835.06
  5. Step 5: Solve for x
    x = 9,974,066,835.06/65,003.25
  6. Step 6: Final answer
    x = 153,439.51

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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.