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Finding the Third Proportional to 52,088.06 and 77,789.11

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Solution

The third proportional to 52,088.06 and 77,789.11 is: 116,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,088.06 : 77,789.11 = 77,789.11 : x
  2. Step 2: Convert to fraction form
    52,088.06/77,789.11 = 77,789.11/x
  3. Step 3: Cross multiply
    52,088.06x = 77,789.11 × 77,789.11
  4. Step 4: Simplify right side
    52,088.06x = 6,051,145,537.36
  5. Step 5: Solve for x
    x = 6,051,145,537.36/52,088.06
  6. Step 6: Final answer
    x = 116,171.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.