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Finding the Third Proportional to 125,956.50 and 191,941.50

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Solution

The third proportional to 125,956.50 and 191,941.50 is: 292,494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,956.50 : 191,941.50 = 191,941.50 : x
  2. Step 2: Convert to fraction form
    125,956.50/191,941.50 = 191,941.50/x
  3. Step 3: Cross multiply
    125,956.50x = 191,941.50 × 191,941.50
  4. Step 4: Simplify right side
    125,956.50x = 36,841,539,422.25
  5. Step 5: Solve for x
    x = 36,841,539,422.25/125,956.50
  6. Step 6: Final answer
    x = 292,494.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.