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Finding the Third Proportional to 59,877 and 83,253.38

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Solution

The third proportional to 59,877 and 83,253.38 is: 115,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,877 : 83,253.38 = 83,253.38 : x
  2. Step 2: Convert to fraction form
    59,877/83,253.38 = 83,253.38/x
  3. Step 3: Cross multiply
    59,877x = 83,253.38 × 83,253.38
  4. Step 4: Simplify right side
    59,877x = 6,931,124,448.89
  5. Step 5: Solve for x
    x = 6,931,124,448.89/59,877
  6. Step 6: Final answer
    x = 115,756.04

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.