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Finding the Third Proportional to 49,130 and 75,610

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Solution

The third proportional to 49,130 and 75,610 is: 116,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,130 : 75,610 = 75,610 : x
  2. Step 2: Convert to fraction form
    49,130/75,610 = 75,610/x
  3. Step 3: Cross multiply
    49,130x = 75,610 × 75,610
  4. Step 4: Simplify right side
    49,130x = 5,716,872,100
  5. Step 5: Solve for x
    x = 5,716,872,100/49,130
  6. Step 6: Final answer
    x = 116,362.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.