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Finding the Third Proportional to 119,528 and 175,836

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Solution

The third proportional to 119,528 and 175,836 is: 258,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,528 : 175,836 = 175,836 : x
  2. Step 2: Convert to fraction form
    119,528/175,836 = 175,836/x
  3. Step 3: Cross multiply
    119,528x = 175,836 × 175,836
  4. Step 4: Simplify right side
    119,528x = 30,918,298,896
  5. Step 5: Solve for x
    x = 30,918,298,896/119,528
  6. Step 6: Final answer
    x = 258,669.93

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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.