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Finding the Third Proportional to 61,761 and 144,313.50

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Solution

The third proportional to 61,761 and 144,313.50 is: 337,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,761 : 144,313.50 = 144,313.50 : x
  2. Step 2: Convert to fraction form
    61,761/144,313.50 = 144,313.50/x
  3. Step 3: Cross multiply
    61,761x = 144,313.50 × 144,313.50
  4. Step 4: Simplify right side
    61,761x = 20,826,386,282.25
  5. Step 5: Solve for x
    x = 20,826,386,282.25/61,761
  6. Step 6: Final answer
    x = 337,209.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.