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Finding the Third Proportional to 102,594.94 and 153,480.66

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Solution

The third proportional to 102,594.94 and 153,480.66 is: 229,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,594.94 : 153,480.66 = 153,480.66 : x
  2. Step 2: Convert to fraction form
    102,594.94/153,480.66 = 153,480.66/x
  3. Step 3: Cross multiply
    102,594.94x = 153,480.66 × 153,480.66
  4. Step 4: Simplify right side
    102,594.94x = 23,556,311,842.93
  5. Step 5: Solve for x
    x = 23,556,311,842.93/102,594.94
  6. Step 6: Final answer
    x = 229,605.01

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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.