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Finding the Third Proportional to 91,010 and 135,813

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Solution

The third proportional to 91,010 and 135,813 is: 202,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,010 : 135,813 = 135,813 : x
  2. Step 2: Convert to fraction form
    91,010/135,813 = 135,813/x
  3. Step 3: Cross multiply
    91,010x = 135,813 × 135,813
  4. Step 4: Simplify right side
    91,010x = 18,445,170,969
  5. Step 5: Solve for x
    x = 18,445,170,969/91,010
  6. Step 6: Final answer
    x = 202,671.91

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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.