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Finding the Third Proportional to 90,983.25 and 148,574.25

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Solution

The third proportional to 90,983.25 and 148,574.25 is: 242,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,983.25 : 148,574.25 = 148,574.25 : x
  2. Step 2: Convert to fraction form
    90,983.25/148,574.25 = 148,574.25/x
  3. Step 3: Cross multiply
    90,983.25x = 148,574.25 × 148,574.25
  4. Step 4: Simplify right side
    90,983.25x = 22,074,307,763.06
  5. Step 5: Solve for x
    x = 22,074,307,763.06/90,983.25
  6. Step 6: Final answer
    x = 242,619.47

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.