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Finding the Third Proportional to 123,428 and 174,747

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Solution

The third proportional to 123,428 and 174,747 is: 247,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,428 : 174,747 = 174,747 : x
  2. Step 2: Convert to fraction form
    123,428/174,747 = 174,747/x
  3. Step 3: Cross multiply
    123,428x = 174,747 × 174,747
  4. Step 4: Simplify right side
    123,428x = 30,536,514,009
  5. Step 5: Solve for x
    x = 30,536,514,009/123,428
  6. Step 6: Final answer
    x = 247,403.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.