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Finding the Third Proportional to 125,801.50 and 190,337.75

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Solution

The third proportional to 125,801.50 and 190,337.75 is: 287,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,801.50 : 190,337.75 = 190,337.75 : x
  2. Step 2: Convert to fraction form
    125,801.50/190,337.75 = 190,337.75/x
  3. Step 3: Cross multiply
    125,801.50x = 190,337.75 × 190,337.75
  4. Step 4: Simplify right side
    125,801.50x = 36,228,459,075.06
  5. Step 5: Solve for x
    x = 36,228,459,075.06/125,801.50
  6. Step 6: Final answer
    x = 287,981.14

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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.