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Finding the Third Proportional to 107,140 and 161,682

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Solution

The third proportional to 107,140 and 161,682 is: 243,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,140 : 161,682 = 161,682 : x
  2. Step 2: Convert to fraction form
    107,140/161,682 = 161,682/x
  3. Step 3: Cross multiply
    107,140x = 161,682 × 161,682
  4. Step 4: Simplify right side
    107,140x = 26,141,069,124
  5. Step 5: Solve for x
    x = 26,141,069,124/107,140
  6. Step 6: Final answer
    x = 243,989.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.