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Finding the Third Proportional to 90,159.75 and 128,152.13

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Solution

The third proportional to 90,159.75 and 128,152.13 is: 182,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,159.75 : 128,152.13 = 128,152.13 : x
  2. Step 2: Convert to fraction form
    90,159.75/128,152.13 = 128,152.13/x
  3. Step 3: Cross multiply
    90,159.75x = 128,152.13 × 128,152.13
  4. Step 4: Simplify right side
    90,159.75x = 16,422,967,142.02
  5. Step 5: Solve for x
    x = 16,422,967,142.02/90,159.75
  6. Step 6: Final answer
    x = 182,154.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.