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Finding the Third Proportional to 172,075 and 253,029

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Solution

The third proportional to 172,075 and 253,029 is: 372,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,075 : 253,029 = 253,029 : x
  2. Step 2: Convert to fraction form
    172,075/253,029 = 253,029/x
  3. Step 3: Cross multiply
    172,075x = 253,029 × 253,029
  4. Step 4: Simplify right side
    172,075x = 64,023,674,841
  5. Step 5: Solve for x
    x = 64,023,674,841/172,075
  6. Step 6: Final answer
    x = 372,068.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.