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Finding the Third Proportional to 91,864.75 and 130,024

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Solution

The third proportional to 91,864.75 and 130,024 is: 184,034.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,864.75 : 130,024 = 130,024 : x
  2. Step 2: Convert to fraction form
    91,864.75/130,024 = 130,024/x
  3. Step 3: Cross multiply
    91,864.75x = 130,024 × 130,024
  4. Step 4: Simplify right side
    91,864.75x = 16,906,240,576
  5. Step 5: Solve for x
    x = 16,906,240,576/91,864.75
  6. Step 6: Final answer
    x = 184,034.03

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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.