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Finding the Third Proportional to 87,094.50 and 127,280.63

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Solution

The third proportional to 87,094.50 and 127,280.63 is: 186,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,094.50 : 127,280.63 = 127,280.63 : x
  2. Step 2: Convert to fraction form
    87,094.50/127,280.63 = 127,280.63/x
  3. Step 3: Cross multiply
    87,094.50x = 127,280.63 × 127,280.63
  4. Step 4: Simplify right side
    87,094.50x = 16,200,357,500.39
  5. Step 5: Solve for x
    x = 16,200,357,500.39/87,094.50
  6. Step 6: Final answer
    x = 186,008.96

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Why These Related Problems?

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