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Finding the Third Proportional to 52,828.50 and 108,088.50

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Solution

The third proportional to 52,828.50 and 108,088.50 is: 221,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,828.50 : 108,088.50 = 108,088.50 : x
  2. Step 2: Convert to fraction form
    52,828.50/108,088.50 = 108,088.50/x
  3. Step 3: Cross multiply
    52,828.50x = 108,088.50 × 108,088.50
  4. Step 4: Simplify right side
    52,828.50x = 11,683,123,832.25
  5. Step 5: Solve for x
    x = 11,683,123,832.25/52,828.50
  6. Step 6: Final answer
    x = 221,151.91

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.