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Finding the Third Proportional to 59,088 and 87,705

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Solution

The third proportional to 59,088 and 87,705 is: 130,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,088 : 87,705 = 87,705 : x
  2. Step 2: Convert to fraction form
    59,088/87,705 = 87,705/x
  3. Step 3: Cross multiply
    59,088x = 87,705 × 87,705
  4. Step 4: Simplify right side
    59,088x = 7,692,167,025
  5. Step 5: Solve for x
    x = 7,692,167,025/59,088
  6. Step 6: Final answer
    x = 130,181.54

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.