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Finding the Third Proportional to 115,864.88 and 175,431.94

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Solution

The third proportional to 115,864.88 and 175,431.94 is: 265,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,864.88 : 175,431.94 = 175,431.94 : x
  2. Step 2: Convert to fraction form
    115,864.88/175,431.94 = 175,431.94/x
  3. Step 3: Cross multiply
    115,864.88x = 175,431.94 × 175,431.94
  4. Step 4: Simplify right side
    115,864.88x = 30,776,364,695.00
  5. Step 5: Solve for x
    x = 30,776,364,695.00/115,864.88
  6. Step 6: Final answer
    x = 265,622.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.