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Finding the Third Proportional to 125,988.50 and 274,117.50

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Solution

The third proportional to 125,988.50 and 274,117.50 is: 596,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,988.50 : 274,117.50 = 274,117.50 : x
  2. Step 2: Convert to fraction form
    125,988.50/274,117.50 = 274,117.50/x
  3. Step 3: Cross multiply
    125,988.50x = 274,117.50 × 274,117.50
  4. Step 4: Simplify right side
    125,988.50x = 75,140,403,806.25
  5. Step 5: Solve for x
    x = 75,140,403,806.25/125,988.50
  6. Step 6: Final answer
    x = 596,406.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.