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Finding the Third Proportional to 127,075.50 and 271,602

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Solution

The third proportional to 127,075.50 and 271,602 is: 580,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,075.50 : 271,602 = 271,602 : x
  2. Step 2: Convert to fraction form
    127,075.50/271,602 = 271,602/x
  3. Step 3: Cross multiply
    127,075.50x = 271,602 × 271,602
  4. Step 4: Simplify right side
    127,075.50x = 73,767,646,404
  5. Step 5: Solve for x
    x = 73,767,646,404/127,075.50
  6. Step 6: Final answer
    x = 580,502.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.