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Finding the Third Proportional to 71,102.25 and 153,607.50

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Solution

The third proportional to 71,102.25 and 153,607.50 is: 331,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,102.25 : 153,607.50 = 153,607.50 : x
  2. Step 2: Convert to fraction form
    71,102.25/153,607.50 = 153,607.50/x
  3. Step 3: Cross multiply
    71,102.25x = 153,607.50 × 153,607.50
  4. Step 4: Simplify right side
    71,102.25x = 23,595,264,056.25
  5. Step 5: Solve for x
    x = 23,595,264,056.25/71,102.25
  6. Step 6: Final answer
    x = 331,849.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.