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Finding the Third Proportional to 81,545 and 168,683.50

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Solution

The third proportional to 81,545 and 168,683.50 is: 348,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,545 : 168,683.50 = 168,683.50 : x
  2. Step 2: Convert to fraction form
    81,545/168,683.50 = 168,683.50/x
  3. Step 3: Cross multiply
    81,545x = 168,683.50 × 168,683.50
  4. Step 4: Simplify right side
    81,545x = 28,454,123,172.25
  5. Step 5: Solve for x
    x = 28,454,123,172.25/81,545
  6. Step 6: Final answer
    x = 348,937.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.