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Finding the Third Proportional to 96,573 and 155,119.50

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Solution

The third proportional to 96,573 and 155,119.50 is: 249,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,573 : 155,119.50 = 155,119.50 : x
  2. Step 2: Convert to fraction form
    96,573/155,119.50 = 155,119.50/x
  3. Step 3: Cross multiply
    96,573x = 155,119.50 × 155,119.50
  4. Step 4: Simplify right side
    96,573x = 24,062,059,280.25
  5. Step 5: Solve for x
    x = 24,062,059,280.25/96,573
  6. Step 6: Final answer
    x = 249,159.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.