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Finding the Third Proportional to 121,050 and 258,570

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Solution

The third proportional to 121,050 and 258,570 is: 552,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,050 : 258,570 = 258,570 : x
  2. Step 2: Convert to fraction form
    121,050/258,570 = 258,570/x
  3. Step 3: Cross multiply
    121,050x = 258,570 × 258,570
  4. Step 4: Simplify right side
    121,050x = 66,858,444,900
  5. Step 5: Solve for x
    x = 66,858,444,900/121,050
  6. Step 6: Final answer
    x = 552,320.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.