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Finding the Third Proportional to 57,737 and 120,010

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Solution

The third proportional to 57,737 and 120,010 is: 249,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,737 : 120,010 = 120,010 : x
  2. Step 2: Convert to fraction form
    57,737/120,010 = 120,010/x
  3. Step 3: Cross multiply
    57,737x = 120,010 × 120,010
  4. Step 4: Simplify right side
    57,737x = 14,402,400,100
  5. Step 5: Solve for x
    x = 14,402,400,100/57,737
  6. Step 6: Final answer
    x = 249,448.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.