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Finding the Third Proportional to 101,552 and 154,710

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Solution

The third proportional to 101,552 and 154,710 is: 235,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,552 : 154,710 = 154,710 : x
  2. Step 2: Convert to fraction form
    101,552/154,710 = 154,710/x
  3. Step 3: Cross multiply
    101,552x = 154,710 × 154,710
  4. Step 4: Simplify right side
    101,552x = 23,935,184,100
  5. Step 5: Solve for x
    x = 23,935,184,100/101,552
  6. Step 6: Final answer
    x = 235,693.87

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