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Finding the Third Proportional to 121,050 and 265,068

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Solution

The third proportional to 121,050 and 265,068 is: 580,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,050 : 265,068 = 265,068 : x
  2. Step 2: Convert to fraction form
    121,050/265,068 = 265,068/x
  3. Step 3: Cross multiply
    121,050x = 265,068 × 265,068
  4. Step 4: Simplify right side
    121,050x = 70,261,044,624
  5. Step 5: Solve for x
    x = 70,261,044,624/121,050
  6. Step 6: Final answer
    x = 580,429.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.