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Finding the Third Proportional to 91,077.75 and 135,681.75

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Solution

The third proportional to 91,077.75 and 135,681.75 is: 202,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,077.75 : 135,681.75 = 135,681.75 : x
  2. Step 2: Convert to fraction form
    91,077.75/135,681.75 = 135,681.75/x
  3. Step 3: Cross multiply
    91,077.75x = 135,681.75 × 135,681.75
  4. Step 4: Simplify right side
    91,077.75x = 18,409,537,283.06
  5. Step 5: Solve for x
    x = 18,409,537,283.06/91,077.75
  6. Step 6: Final answer
    x = 202,129.91

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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.