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Finding the Third Proportional to 55,936 and 85,362

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Solution

The third proportional to 55,936 and 85,362 is: 130,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,936 : 85,362 = 85,362 : x
  2. Step 2: Convert to fraction form
    55,936/85,362 = 85,362/x
  3. Step 3: Cross multiply
    55,936x = 85,362 × 85,362
  4. Step 4: Simplify right side
    55,936x = 7,286,671,044
  5. Step 5: Solve for x
    x = 7,286,671,044/55,936
  6. Step 6: Final answer
    x = 130,268.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.