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Finding the Third Proportional to 116,127 and 163,535

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Solution

The third proportional to 116,127 and 163,535 is: 230,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,127 : 163,535 = 163,535 : x
  2. Step 2: Convert to fraction form
    116,127/163,535 = 163,535/x
  3. Step 3: Cross multiply
    116,127x = 163,535 × 163,535
  4. Step 4: Simplify right side
    116,127x = 26,743,696,225
  5. Step 5: Solve for x
    x = 26,743,696,225/116,127
  6. Step 6: Final answer
    x = 230,296.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.