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Finding the Third Proportional to 34,068 and 72,793.50

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Solution

The third proportional to 34,068 and 72,793.50 is: 155,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,068 : 72,793.50 = 72,793.50 : x
  2. Step 2: Convert to fraction form
    34,068/72,793.50 = 72,793.50/x
  3. Step 3: Cross multiply
    34,068x = 72,793.50 × 72,793.50
  4. Step 4: Simplify right side
    34,068x = 5,298,893,642.25
  5. Step 5: Solve for x
    x = 5,298,893,642.25/34,068
  6. Step 6: Final answer
    x = 155,538.74

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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.