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Finding the Third Proportional to 125,934.50 and 174,543.50

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Solution

The third proportional to 125,934.50 and 174,543.50 is: 241,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,934.50 : 174,543.50 = 174,543.50 : x
  2. Step 2: Convert to fraction form
    125,934.50/174,543.50 = 174,543.50/x
  3. Step 3: Cross multiply
    125,934.50x = 174,543.50 × 174,543.50
  4. Step 4: Simplify right side
    125,934.50x = 30,465,433,392.25
  5. Step 5: Solve for x
    x = 30,465,433,392.25/125,934.50
  6. Step 6: Final answer
    x = 241,914.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.