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Finding the Third Proportional to 107,413 and 161,045

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Solution

The third proportional to 107,413 and 161,045 is: 241,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,413 : 161,045 = 161,045 : x
  2. Step 2: Convert to fraction form
    107,413/161,045 = 161,045/x
  3. Step 3: Cross multiply
    107,413x = 161,045 × 161,045
  4. Step 4: Simplify right side
    107,413x = 25,935,492,025
  5. Step 5: Solve for x
    x = 25,935,492,025/107,413
  6. Step 6: Final answer
    x = 241,455.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.