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Finding the Third Proportional to 87,195 and 130,666.50

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Solution

The third proportional to 87,195 and 130,666.50 is: 195,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,195 : 130,666.50 = 130,666.50 : x
  2. Step 2: Convert to fraction form
    87,195/130,666.50 = 130,666.50/x
  3. Step 3: Cross multiply
    87,195x = 130,666.50 × 130,666.50
  4. Step 4: Simplify right side
    87,195x = 17,073,734,222.25
  5. Step 5: Solve for x
    x = 17,073,734,222.25/87,195
  6. Step 6: Final answer
    x = 195,810.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.