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Finding the Third Proportional to 119,522 and 175,827

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Solution

The third proportional to 119,522 and 175,827 is: 258,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,522 : 175,827 = 175,827 : x
  2. Step 2: Convert to fraction form
    119,522/175,827 = 175,827/x
  3. Step 3: Cross multiply
    119,522x = 175,827 × 175,827
  4. Step 4: Simplify right side
    119,522x = 30,915,133,929
  5. Step 5: Solve for x
    x = 30,915,133,929/119,522
  6. Step 6: Final answer
    x = 258,656.43

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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.