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Finding the Third Proportional to 119,365 and 161,538

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Solution

The third proportional to 119,365 and 161,538 is: 218,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,365 : 161,538 = 161,538 : x
  2. Step 2: Convert to fraction form
    119,365/161,538 = 161,538/x
  3. Step 3: Cross multiply
    119,365x = 161,538 × 161,538
  4. Step 4: Simplify right side
    119,365x = 26,094,525,444
  5. Step 5: Solve for x
    x = 26,094,525,444/119,365
  6. Step 6: Final answer
    x = 218,611.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.