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Finding the Third Proportional to 66,712 and 101,444

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Solution

The third proportional to 66,712 and 101,444 is: 154,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,712 : 101,444 = 101,444 : x
  2. Step 2: Convert to fraction form
    66,712/101,444 = 101,444/x
  3. Step 3: Cross multiply
    66,712x = 101,444 × 101,444
  4. Step 4: Simplify right side
    66,712x = 10,290,885,136
  5. Step 5: Solve for x
    x = 10,290,885,136/66,712
  6. Step 6: Final answer
    x = 154,258.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.