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Finding the Third Proportional to 93,389 and 125,821.50

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Solution

The third proportional to 93,389 and 125,821.50 is: 169,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,389 : 125,821.50 = 125,821.50 : x
  2. Step 2: Convert to fraction form
    93,389/125,821.50 = 125,821.50/x
  3. Step 3: Cross multiply
    93,389x = 125,821.50 × 125,821.50
  4. Step 4: Simplify right side
    93,389x = 15,831,049,862.25
  5. Step 5: Solve for x
    x = 15,831,049,862.25/93,389
  6. Step 6: Final answer
    x = 169,517.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.