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Finding the Third Proportional to 59,147 and 89,335

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Solution

The third proportional to 59,147 and 89,335 is: 134,930.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,147 : 89,335 = 89,335 : x
  2. Step 2: Convert to fraction form
    59,147/89,335 = 89,335/x
  3. Step 3: Cross multiply
    59,147x = 89,335 × 89,335
  4. Step 4: Simplify right side
    59,147x = 7,980,742,225
  5. Step 5: Solve for x
    x = 7,980,742,225/59,147
  6. Step 6: Final answer
    x = 134,930.63

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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.