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Finding the Third Proportional to 125,914.50 and 190,084.50

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Solution

The third proportional to 125,914.50 and 190,084.50 is: 286,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,914.50 : 190,084.50 = 190,084.50 : x
  2. Step 2: Convert to fraction form
    125,914.50/190,084.50 = 190,084.50/x
  3. Step 3: Cross multiply
    125,914.50x = 190,084.50 × 190,084.50
  4. Step 4: Simplify right side
    125,914.50x = 36,132,117,140.25
  5. Step 5: Solve for x
    x = 36,132,117,140.25/125,914.50
  6. Step 6: Final answer
    x = 286,957.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.