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Finding the Third Proportional to 91,194.75 and 145,685.06

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Solution

The third proportional to 91,194.75 and 145,685.06 is: 232,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,194.75 : 145,685.06 = 145,685.06 : x
  2. Step 2: Convert to fraction form
    91,194.75/145,685.06 = 145,685.06/x
  3. Step 3: Cross multiply
    91,194.75x = 145,685.06 × 145,685.06
  4. Step 4: Simplify right side
    91,194.75x = 21,224,137,435.63
  5. Step 5: Solve for x
    x = 21,224,137,435.63/91,194.75
  6. Step 6: Final answer
    x = 232,734.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.