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Finding the Third Proportional to 137,624.06 and 211,602.38

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Solution

The third proportional to 137,624.06 and 211,602.38 is: 325,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,624.06 : 211,602.38 = 211,602.38 : x
  2. Step 2: Convert to fraction form
    137,624.06/211,602.38 = 211,602.38/x
  3. Step 3: Cross multiply
    137,624.06x = 211,602.38 × 211,602.38
  4. Step 4: Simplify right side
    137,624.06x = 44,775,565,105.64
  5. Step 5: Solve for x
    x = 44,775,565,105.64/137,624.06
  6. Step 6: Final answer
    x = 325,346.92

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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.