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Finding the Third Proportional to 91,862.75 and 130,021

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Solution

The third proportional to 91,862.75 and 130,021 is: 184,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,862.75 : 130,021 = 130,021 : x
  2. Step 2: Convert to fraction form
    91,862.75/130,021 = 130,021/x
  3. Step 3: Cross multiply
    91,862.75x = 130,021 × 130,021
  4. Step 4: Simplify right side
    91,862.75x = 16,905,460,441
  5. Step 5: Solve for x
    x = 16,905,460,441/91,862.75
  6. Step 6: Final answer
    x = 184,029.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.