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Finding the Third Proportional to 121,068 and 258,750

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Solution

The third proportional to 121,068 and 258,750 is: 553,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,068 : 258,750 = 258,750 : x
  2. Step 2: Convert to fraction form
    121,068/258,750 = 258,750/x
  3. Step 3: Cross multiply
    121,068x = 258,750 × 258,750
  4. Step 4: Simplify right side
    121,068x = 66,951,562,500
  5. Step 5: Solve for x
    x = 66,951,562,500/121,068
  6. Step 6: Final answer
    x = 553,007.92

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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.