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Finding the Third Proportional to 84,993 and 125,015.75

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Solution

The third proportional to 84,993 and 125,015.75 is: 183,885.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,993 : 125,015.75 = 125,015.75 : x
  2. Step 2: Convert to fraction form
    84,993/125,015.75 = 125,015.75/x
  3. Step 3: Cross multiply
    84,993x = 125,015.75 × 125,015.75
  4. Step 4: Simplify right side
    84,993x = 15,628,937,748.06
  5. Step 5: Solve for x
    x = 15,628,937,748.06/84,993
  6. Step 6: Final answer
    x = 183,885.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.