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Finding the Third Proportional to 75,785 and 116,836.50

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Solution

The third proportional to 75,785 and 116,836.50 is: 180,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,785 : 116,836.50 = 116,836.50 : x
  2. Step 2: Convert to fraction form
    75,785/116,836.50 = 116,836.50/x
  3. Step 3: Cross multiply
    75,785x = 116,836.50 × 116,836.50
  4. Step 4: Simplify right side
    75,785x = 13,650,767,732.25
  5. Step 5: Solve for x
    x = 13,650,767,732.25/75,785
  6. Step 6: Final answer
    x = 180,124.93

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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.