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Finding the Third Proportional to 56,214 and 120,397.50

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Solution

The third proportional to 56,214 and 120,397.50 is: 257,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,214 : 120,397.50 = 120,397.50 : x
  2. Step 2: Convert to fraction form
    56,214/120,397.50 = 120,397.50/x
  3. Step 3: Cross multiply
    56,214x = 120,397.50 × 120,397.50
  4. Step 4: Simplify right side
    56,214x = 14,495,558,006.25
  5. Step 5: Solve for x
    x = 14,495,558,006.25/56,214
  6. Step 6: Final answer
    x = 257,863.84

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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.