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Finding the Third Proportional to 125,212.50 and 193,801.50

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Solution

The third proportional to 125,212.50 and 193,801.50 is: 299,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,212.50 : 193,801.50 = 193,801.50 : x
  2. Step 2: Convert to fraction form
    125,212.50/193,801.50 = 193,801.50/x
  3. Step 3: Cross multiply
    125,212.50x = 193,801.50 × 193,801.50
  4. Step 4: Simplify right side
    125,212.50x = 37,559,021,402.25
  5. Step 5: Solve for x
    x = 37,559,021,402.25/125,212.50
  6. Step 6: Final answer
    x = 299,962.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.