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Finding the Third Proportional to 59,025 and 89,032

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Solution

The third proportional to 59,025 and 89,032 is: 134,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,025 : 89,032 = 89,032 : x
  2. Step 2: Convert to fraction form
    59,025/89,032 = 89,032/x
  3. Step 3: Cross multiply
    59,025x = 89,032 × 89,032
  4. Step 4: Simplify right side
    59,025x = 7,926,697,024
  5. Step 5: Solve for x
    x = 7,926,697,024/59,025
  6. Step 6: Final answer
    x = 134,293.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.