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Finding the Third Proportional to 49,160 and 75,664

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Solution

The third proportional to 49,160 and 75,664 is: 116,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,160 : 75,664 = 75,664 : x
  2. Step 2: Convert to fraction form
    49,160/75,664 = 75,664/x
  3. Step 3: Cross multiply
    49,160x = 75,664 × 75,664
  4. Step 4: Simplify right side
    49,160x = 5,725,040,896
  5. Step 5: Solve for x
    x = 5,725,040,896/49,160
  6. Step 6: Final answer
    x = 116,457.30

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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.