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Finding the Third Proportional to 125,893.69 and 257,602.50

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Solution

The third proportional to 125,893.69 and 257,602.50 is: 527,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,893.69 : 257,602.50 = 257,602.50 : x
  2. Step 2: Convert to fraction form
    125,893.69/257,602.50 = 257,602.50/x
  3. Step 3: Cross multiply
    125,893.69x = 257,602.50 × 257,602.50
  4. Step 4: Simplify right side
    125,893.69x = 66,359,048,006.25
  5. Step 5: Solve for x
    x = 66,359,048,006.25/125,893.69
  6. Step 6: Final answer
    x = 527,103.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.