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Finding the Third Proportional to 91,232.16 and 145,279.41

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Solution

The third proportional to 91,232.16 and 145,279.41 is: 231,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,232.16 : 145,279.41 = 145,279.41 : x
  2. Step 2: Convert to fraction form
    91,232.16/145,279.41 = 145,279.41/x
  3. Step 3: Cross multiply
    91,232.16x = 145,279.41 × 145,279.41
  4. Step 4: Simplify right side
    91,232.16x = 21,106,105,880.35
  5. Step 5: Solve for x
    x = 21,106,105,880.35/91,232.16
  6. Step 6: Final answer
    x = 231,345.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.