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Finding the Third Proportional to 75,534 and 116,550

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Solution

The third proportional to 75,534 and 116,550 is: 179,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,534 : 116,550 = 116,550 : x
  2. Step 2: Convert to fraction form
    75,534/116,550 = 116,550/x
  3. Step 3: Cross multiply
    75,534x = 116,550 × 116,550
  4. Step 4: Simplify right side
    75,534x = 13,583,902,500
  5. Step 5: Solve for x
    x = 13,583,902,500/75,534
  6. Step 6: Final answer
    x = 179,838.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.