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Finding the Third Proportional to 101,712 and 147,951

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Solution

The third proportional to 101,712 and 147,951 is: 215,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,712 : 147,951 = 147,951 : x
  2. Step 2: Convert to fraction form
    101,712/147,951 = 147,951/x
  3. Step 3: Cross multiply
    101,712x = 147,951 × 147,951
  4. Step 4: Simplify right side
    101,712x = 21,889,498,401
  5. Step 5: Solve for x
    x = 21,889,498,401/101,712
  6. Step 6: Final answer
    x = 215,210.58

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.