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Finding the Third Proportional to 130,897.69 and 188,731.69

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Solution

The third proportional to 130,897.69 and 188,731.69 is: 272,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,897.69 : 188,731.69 = 188,731.69 : x
  2. Step 2: Convert to fraction form
    130,897.69/188,731.69 = 188,731.69/x
  3. Step 3: Cross multiply
    130,897.69x = 188,731.69 × 188,731.69
  4. Step 4: Simplify right side
    130,897.69x = 35,619,649,866.60
  5. Step 5: Solve for x
    x = 35,619,649,866.60/130,897.69
  6. Step 6: Final answer
    x = 272,118.25

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.