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Finding the Third Proportional to 75,324 and 116,700

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Solution

The third proportional to 75,324 and 116,700 is: 180,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,324 : 116,700 = 116,700 : x
  2. Step 2: Convert to fraction form
    75,324/116,700 = 116,700/x
  3. Step 3: Cross multiply
    75,324x = 116,700 × 116,700
  4. Step 4: Simplify right side
    75,324x = 13,618,890,000
  5. Step 5: Solve for x
    x = 13,618,890,000/75,324
  6. Step 6: Final answer
    x = 180,804.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.