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Finding the Third Proportional to 57,063 and 87,820.50

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Solution

The third proportional to 57,063 and 87,820.50 is: 135,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,063 : 87,820.50 = 87,820.50 : x
  2. Step 2: Convert to fraction form
    57,063/87,820.50 = 87,820.50/x
  3. Step 3: Cross multiply
    57,063x = 87,820.50 × 87,820.50
  4. Step 4: Simplify right side
    57,063x = 7,712,440,220.25
  5. Step 5: Solve for x
    x = 7,712,440,220.25/57,063
  6. Step 6: Final answer
    x = 135,156.59

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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.