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Finding the Third Proportional to 59,123 and 88,477

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Solution

The third proportional to 59,123 and 88,477 is: 132,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,123 : 88,477 = 88,477 : x
  2. Step 2: Convert to fraction form
    59,123/88,477 = 88,477/x
  3. Step 3: Cross multiply
    59,123x = 88,477 × 88,477
  4. Step 4: Simplify right side
    59,123x = 7,828,179,529
  5. Step 5: Solve for x
    x = 7,828,179,529/59,123
  6. Step 6: Final answer
    x = 132,404.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.