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Finding the Third Proportional to 57,064.50 and 122,042.95

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Solution

The third proportional to 57,064.50 and 122,042.95 is: 261,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,064.50 : 122,042.95 = 122,042.95 : x
  2. Step 2: Convert to fraction form
    57,064.50/122,042.95 = 122,042.95/x
  3. Step 3: Cross multiply
    57,064.50x = 122,042.95 × 122,042.95
  4. Step 4: Simplify right side
    57,064.50x = 14,894,482,407.47
  5. Step 5: Solve for x
    x = 14,894,482,407.47/57,064.50
  6. Step 6: Final answer
    x = 261,011.35

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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.