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Finding the Third Proportional to 91,283.63 and 135,951.75

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Solution

The third proportional to 91,283.63 and 135,951.75 is: 202,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,283.63 : 135,951.75 = 135,951.75 : x
  2. Step 2: Convert to fraction form
    91,283.63/135,951.75 = 135,951.75/x
  3. Step 3: Cross multiply
    91,283.63x = 135,951.75 × 135,951.75
  4. Step 4: Simplify right side
    91,283.63x = 18,482,878,328.06
  5. Step 5: Solve for x
    x = 18,482,878,328.06/91,283.63
  6. Step 6: Final answer
    x = 202,477.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.