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Finding the Third Proportional to 44,948 and 70,122

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Solution

The third proportional to 44,948 and 70,122 is: 109,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,948 : 70,122 = 70,122 : x
  2. Step 2: Convert to fraction form
    44,948/70,122 = 70,122/x
  3. Step 3: Cross multiply
    44,948x = 70,122 × 70,122
  4. Step 4: Simplify right side
    44,948x = 4,917,094,884
  5. Step 5: Solve for x
    x = 4,917,094,884/44,948
  6. Step 6: Final answer
    x = 109,395.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.