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Finding the Third Proportional to 50,151 and 70,106

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Solution

The third proportional to 50,151 and 70,106 is: 98,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,151 : 70,106 = 70,106 : x
  2. Step 2: Convert to fraction form
    50,151/70,106 = 70,106/x
  3. Step 3: Cross multiply
    50,151x = 70,106 × 70,106
  4. Step 4: Simplify right side
    50,151x = 4,914,851,236
  5. Step 5: Solve for x
    x = 4,914,851,236/50,151
  6. Step 6: Final answer
    x = 98,001.06

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.