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Finding the Third Proportional to 172,041 and 253,001.50

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Solution

The third proportional to 172,041 and 253,001.50 is: 372,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,041 : 253,001.50 = 253,001.50 : x
  2. Step 2: Convert to fraction form
    172,041/253,001.50 = 253,001.50/x
  3. Step 3: Cross multiply
    172,041x = 253,001.50 × 253,001.50
  4. Step 4: Simplify right side
    172,041x = 64,009,759,002.25
  5. Step 5: Solve for x
    x = 64,009,759,002.25/172,041
  6. Step 6: Final answer
    x = 372,061.07

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