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Finding the Third Proportional to 87,094.69 and 127,281.38

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Solution

The third proportional to 87,094.69 and 127,281.38 is: 186,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,094.69 : 127,281.38 = 127,281.38 : x
  2. Step 2: Convert to fraction form
    87,094.69/127,281.38 = 127,281.38/x
  3. Step 3: Cross multiply
    87,094.69x = 127,281.38 × 127,281.38
  4. Step 4: Simplify right side
    87,094.69x = 16,200,548,421.89
  5. Step 5: Solve for x
    x = 16,200,548,421.89/87,094.69
  6. Step 6: Final answer
    x = 186,010.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.