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Finding the Third Proportional to 75,313 and 116,542.50

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Solution

The third proportional to 75,313 and 116,542.50 is: 180,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313 : 116,542.50 = 116,542.50 : x
  2. Step 2: Convert to fraction form
    75,313/116,542.50 = 116,542.50/x
  3. Step 3: Cross multiply
    75,313x = 116,542.50 × 116,542.50
  4. Step 4: Simplify right side
    75,313x = 13,582,154,306.25
  5. Step 5: Solve for x
    x = 13,582,154,306.25/75,313
  6. Step 6: Final answer
    x = 180,342.76

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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.