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Finding the Third Proportional to 75,915.75 and 162,340.88

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Solution

The third proportional to 75,915.75 and 162,340.88 is: 347,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,915.75 : 162,340.88 = 162,340.88 : x
  2. Step 2: Convert to fraction form
    75,915.75/162,340.88 = 162,340.88/x
  3. Step 3: Cross multiply
    75,915.75x = 162,340.88 × 162,340.88
  4. Step 4: Simplify right side
    75,915.75x = 26,354,559,695.77
  5. Step 5: Solve for x
    x = 26,354,559,695.77/75,915.75
  6. Step 6: Final answer
    x = 347,155.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.