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Finding the Third Proportional to 42,308 and 59,500

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Solution

The third proportional to 42,308 and 59,500 is: 83,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,308 : 59,500 = 59,500 : x
  2. Step 2: Convert to fraction form
    42,308/59,500 = 59,500/x
  3. Step 3: Cross multiply
    42,308x = 59,500 × 59,500
  4. Step 4: Simplify right side
    42,308x = 3,540,250,000
  5. Step 5: Solve for x
    x = 3,540,250,000/42,308
  6. Step 6: Final answer
    x = 83,678.03

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.