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Finding the Third Proportional to 91,861 and 130,017.75

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Solution

The third proportional to 91,861 and 130,017.75 is: 184,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,861 : 130,017.75 = 130,017.75 : x
  2. Step 2: Convert to fraction form
    91,861/130,017.75 = 130,017.75/x
  3. Step 3: Cross multiply
    91,861x = 130,017.75 × 130,017.75
  4. Step 4: Simplify right side
    91,861x = 16,904,615,315.06
  5. Step 5: Solve for x
    x = 16,904,615,315.06/91,861
  6. Step 6: Final answer
    x = 184,023.85

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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.