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Finding the Third Proportional to 44,252 and 70,106

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Solution

The third proportional to 44,252 and 70,106 is: 111,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,252 : 70,106 = 70,106 : x
  2. Step 2: Convert to fraction form
    44,252/70,106 = 70,106/x
  3. Step 3: Cross multiply
    44,252x = 70,106 × 70,106
  4. Step 4: Simplify right side
    44,252x = 4,914,851,236
  5. Step 5: Solve for x
    x = 4,914,851,236/44,252
  6. Step 6: Final answer
    x = 111,065.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.