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Finding the Third Proportional to 81,258 and 119,535

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Solution

The third proportional to 81,258 and 119,535 is: 175,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,258 : 119,535 = 119,535 : x
  2. Step 2: Convert to fraction form
    81,258/119,535 = 119,535/x
  3. Step 3: Cross multiply
    81,258x = 119,535 × 119,535
  4. Step 4: Simplify right side
    81,258x = 14,288,616,225
  5. Step 5: Solve for x
    x = 14,288,616,225/81,258
  6. Step 6: Final answer
    x = 175,842.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.