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Finding the Third Proportional to 81,670.13 and 175,852.50

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Solution

The third proportional to 81,670.13 and 175,852.50 is: 378,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,670.13 : 175,852.50 = 175,852.50 : x
  2. Step 2: Convert to fraction form
    81,670.13/175,852.50 = 175,852.50/x
  3. Step 3: Cross multiply
    81,670.13x = 175,852.50 × 175,852.50
  4. Step 4: Simplify right side
    81,670.13x = 30,924,101,756.25
  5. Step 5: Solve for x
    x = 30,924,101,756.25/81,670.13
  6. Step 6: Final answer
    x = 378,646.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.