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Finding the Third Proportional to 49,106 and 75,088

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Solution

The third proportional to 49,106 and 75,088 is: 114,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,106 : 75,088 = 75,088 : x
  2. Step 2: Convert to fraction form
    49,106/75,088 = 75,088/x
  3. Step 3: Cross multiply
    49,106x = 75,088 × 75,088
  4. Step 4: Simplify right side
    49,106x = 5,638,207,744
  5. Step 5: Solve for x
    x = 5,638,207,744/49,106
  6. Step 6: Final answer
    x = 114,817.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.