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Finding the Third Proportional to 91,860 and 130,017.50

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Solution

The third proportional to 91,860 and 130,017.50 is: 184,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,860 : 130,017.50 = 130,017.50 : x
  2. Step 2: Convert to fraction form
    91,860/130,017.50 = 130,017.50/x
  3. Step 3: Cross multiply
    91,860x = 130,017.50 × 130,017.50
  4. Step 4: Simplify right side
    91,860x = 16,904,550,306.25
  5. Step 5: Solve for x
    x = 16,904,550,306.25/91,860
  6. Step 6: Final answer
    x = 184,025.15

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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.