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Finding the Third Proportional to 58,765 and 87,013

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Solution

The third proportional to 58,765 and 87,013 is: 128,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,765 : 87,013 = 87,013 : x
  2. Step 2: Convert to fraction form
    58,765/87,013 = 87,013/x
  3. Step 3: Cross multiply
    58,765x = 87,013 × 87,013
  4. Step 4: Simplify right side
    58,765x = 7,571,262,169
  5. Step 5: Solve for x
    x = 7,571,262,169/58,765
  6. Step 6: Final answer
    x = 128,839.65

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Why These Related Problems?

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