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Finding the Third Proportional to 172,090 and 253,069

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Solution

The third proportional to 172,090 and 253,069 is: 372,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,090 : 253,069 = 253,069 : x
  2. Step 2: Convert to fraction form
    172,090/253,069 = 253,069/x
  3. Step 3: Cross multiply
    172,090x = 253,069 × 253,069
  4. Step 4: Simplify right side
    172,090x = 64,043,918,761
  5. Step 5: Solve for x
    x = 64,043,918,761/172,090
  6. Step 6: Final answer
    x = 372,153.63

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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.