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Finding the Third Proportional to 91,858 and 130,013.50

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Solution

The third proportional to 91,858 and 130,013.50 is: 184,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,858 : 130,013.50 = 130,013.50 : x
  2. Step 2: Convert to fraction form
    91,858/130,013.50 = 130,013.50/x
  3. Step 3: Cross multiply
    91,858x = 130,013.50 × 130,013.50
  4. Step 4: Simplify right side
    91,858x = 16,903,510,182.25
  5. Step 5: Solve for x
    x = 16,903,510,182.25/91,858
  6. Step 6: Final answer
    x = 184,017.83

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