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Finding the Third Proportional to 137,032.07 and 210,897.42

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Solution

The third proportional to 137,032.07 and 210,897.42 is: 324,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,032.07 : 210,897.42 = 210,897.42 : x
  2. Step 2: Convert to fraction form
    137,032.07/210,897.42 = 210,897.42/x
  3. Step 3: Cross multiply
    137,032.07x = 210,897.42 × 210,897.42
  4. Step 4: Simplify right side
    137,032.07x = 44,477,722,553.52
  5. Step 5: Solve for x
    x = 44,477,722,553.52/137,032.07
  6. Step 6: Final answer
    x = 324,578.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.