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Finding the Third Proportional to 55,904 and 83,095

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Solution

The third proportional to 55,904 and 83,095 is: 123,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,904 : 83,095 = 83,095 : x
  2. Step 2: Convert to fraction form
    55,904/83,095 = 83,095/x
  3. Step 3: Cross multiply
    55,904x = 83,095 × 83,095
  4. Step 4: Simplify right side
    55,904x = 6,904,779,025
  5. Step 5: Solve for x
    x = 6,904,779,025/55,904
  6. Step 6: Final answer
    x = 123,511.36

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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.