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Finding the Third Proportional to 32,156.25 and 68,927.25

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Solution

The third proportional to 32,156.25 and 68,927.25 is: 147,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,156.25 : 68,927.25 = 68,927.25 : x
  2. Step 2: Convert to fraction form
    32,156.25/68,927.25 = 68,927.25/x
  3. Step 3: Cross multiply
    32,156.25x = 68,927.25 × 68,927.25
  4. Step 4: Simplify right side
    32,156.25x = 4,750,965,792.56
  5. Step 5: Solve for x
    x = 4,750,965,792.56/32,156.25
  6. Step 6: Final answer
    x = 147,746.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.