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Finding the Third Proportional to 102,585.23 and 153,467.79

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Solution

The third proportional to 102,585.23 and 153,467.79 is: 229,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,585.23 : 153,467.79 = 153,467.79 : x
  2. Step 2: Convert to fraction form
    102,585.23/153,467.79 = 153,467.79/x
  3. Step 3: Cross multiply
    102,585.23x = 153,467.79 × 153,467.79
  4. Step 4: Simplify right side
    102,585.23x = 23,552,362,279.73
  5. Step 5: Solve for x
    x = 23,552,362,279.73/102,585.23
  6. Step 6: Final answer
    x = 229,588.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.