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Finding the Third Proportional to 98,637.75 and 154,568.25

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Solution

The third proportional to 98,637.75 and 154,568.25 is: 242,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,637.75 : 154,568.25 = 154,568.25 : x
  2. Step 2: Convert to fraction form
    98,637.75/154,568.25 = 154,568.25/x
  3. Step 3: Cross multiply
    98,637.75x = 154,568.25 × 154,568.25
  4. Step 4: Simplify right side
    98,637.75x = 23,891,343,908.06
  5. Step 5: Solve for x
    x = 23,891,343,908.06/98,637.75
  6. Step 6: Final answer
    x = 242,212.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.