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Finding the Third Proportional to 78,527 and 125,075

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Solution

The third proportional to 78,527 and 125,075 is: 199,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,527 : 125,075 = 125,075 : x
  2. Step 2: Convert to fraction form
    78,527/125,075 = 125,075/x
  3. Step 3: Cross multiply
    78,527x = 125,075 × 125,075
  4. Step 4: Simplify right side
    78,527x = 15,643,755,625
  5. Step 5: Solve for x
    x = 15,643,755,625/78,527
  6. Step 6: Final answer
    x = 199,214.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.