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Finding the Third Proportional to 52,446 and 83,088

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Solution

The third proportional to 52,446 and 83,088 is: 131,632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,446 : 83,088 = 83,088 : x
  2. Step 2: Convert to fraction form
    52,446/83,088 = 83,088/x
  3. Step 3: Cross multiply
    52,446x = 83,088 × 83,088
  4. Step 4: Simplify right side
    52,446x = 6,903,615,744
  5. Step 5: Solve for x
    x = 6,903,615,744/52,446
  6. Step 6: Final answer
    x = 131,632.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.