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Finding the Third Proportional to 87,075.50 and 191,275.50

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Solution

The third proportional to 87,075.50 and 191,275.50 is: 420,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,075.50 : 191,275.50 = 191,275.50 : x
  2. Step 2: Convert to fraction form
    87,075.50/191,275.50 = 191,275.50/x
  3. Step 3: Cross multiply
    87,075.50x = 191,275.50 × 191,275.50
  4. Step 4: Simplify right side
    87,075.50x = 36,586,316,900.25
  5. Step 5: Solve for x
    x = 36,586,316,900.25/87,075.50
  6. Step 6: Final answer
    x = 420,167.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.