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Finding the Third Proportional to 98,568 and 154,423.13

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Solution

The third proportional to 98,568 and 154,423.13 is: 241,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,568 : 154,423.13 = 154,423.13 : x
  2. Step 2: Convert to fraction form
    98,568/154,423.13 = 154,423.13/x
  3. Step 3: Cross multiply
    98,568x = 154,423.13 × 154,423.13
  4. Step 4: Simplify right side
    98,568x = 23,846,501,534.77
  5. Step 5: Solve for x
    x = 23,846,501,534.77/98,568
  6. Step 6: Final answer
    x = 241,929.45

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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.