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Finding the Third Proportional to 119,028 and 175,236

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Solution

The third proportional to 119,028 and 175,236 is: 257,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,028 : 175,236 = 175,236 : x
  2. Step 2: Convert to fraction form
    119,028/175,236 = 175,236/x
  3. Step 3: Cross multiply
    119,028x = 175,236 × 175,236
  4. Step 4: Simplify right side
    119,028x = 30,707,655,696
  5. Step 5: Solve for x
    x = 30,707,655,696/119,028
  6. Step 6: Final answer
    x = 257,986.82

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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.