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Finding the Third Proportional to 75,484 and 161,538

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Solution

The third proportional to 75,484 and 161,538 is: 345,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,484 : 161,538 = 161,538 : x
  2. Step 2: Convert to fraction form
    75,484/161,538 = 161,538/x
  3. Step 3: Cross multiply
    75,484x = 161,538 × 161,538
  4. Step 4: Simplify right side
    75,484x = 26,094,525,444
  5. Step 5: Solve for x
    x = 26,094,525,444/75,484
  6. Step 6: Final answer
    x = 345,696.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.