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Finding the Third Proportional to 91,017 and 135,823.50

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Solution

The third proportional to 91,017 and 135,823.50 is: 202,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,017 : 135,823.50 = 135,823.50 : x
  2. Step 2: Convert to fraction form
    91,017/135,823.50 = 135,823.50/x
  3. Step 3: Cross multiply
    91,017x = 135,823.50 × 135,823.50
  4. Step 4: Simplify right side
    91,017x = 18,448,023,152.25
  5. Step 5: Solve for x
    x = 18,448,023,152.25/91,017
  6. Step 6: Final answer
    x = 202,687.66

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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.