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Finding the Third Proportional to 84,886.50 and 175,153.50

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Solution

The third proportional to 84,886.50 and 175,153.50 is: 361,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,886.50 : 175,153.50 = 175,153.50 : x
  2. Step 2: Convert to fraction form
    84,886.50/175,153.50 = 175,153.50/x
  3. Step 3: Cross multiply
    84,886.50x = 175,153.50 × 175,153.50
  4. Step 4: Simplify right side
    84,886.50x = 30,678,748,562.25
  5. Step 5: Solve for x
    x = 30,678,748,562.25/84,886.50
  6. Step 6: Final answer
    x = 361,409.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.