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Finding the Third Proportional to 100,129.50 and 155,938.50

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Solution

The third proportional to 100,129.50 and 155,938.50 is: 242,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,129.50 : 155,938.50 = 155,938.50 : x
  2. Step 2: Convert to fraction form
    100,129.50/155,938.50 = 155,938.50/x
  3. Step 3: Cross multiply
    100,129.50x = 155,938.50 × 155,938.50
  4. Step 4: Simplify right side
    100,129.50x = 24,316,815,782.25
  5. Step 5: Solve for x
    x = 24,316,815,782.25/100,129.50
  6. Step 6: Final answer
    x = 242,853.66

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.