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Finding the Third Proportional to 55,735 and 120,560

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Solution

The third proportional to 55,735 and 120,560 is: 260,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,735 : 120,560 = 120,560 : x
  2. Step 2: Convert to fraction form
    55,735/120,560 = 120,560/x
  3. Step 3: Cross multiply
    55,735x = 120,560 × 120,560
  4. Step 4: Simplify right side
    55,735x = 14,534,713,600
  5. Step 5: Solve for x
    x = 14,534,713,600/55,735
  6. Step 6: Final answer
    x = 260,782.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.