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Finding the Third Proportional to 32,623 and 68,746

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Solution

The third proportional to 32,623 and 68,746 is: 144,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,623 : 68,746 = 68,746 : x
  2. Step 2: Convert to fraction form
    32,623/68,746 = 68,746/x
  3. Step 3: Cross multiply
    32,623x = 68,746 × 68,746
  4. Step 4: Simplify right side
    32,623x = 4,726,012,516
  5. Step 5: Solve for x
    x = 4,726,012,516/32,623
  6. Step 6: Final answer
    x = 144,867.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.