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Finding the Third Proportional to 58,137 and 87,205.50

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Solution

The third proportional to 58,137 and 87,205.50 is: 130,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,137 : 87,205.50 = 87,205.50 : x
  2. Step 2: Convert to fraction form
    58,137/87,205.50 = 87,205.50/x
  3. Step 3: Cross multiply
    58,137x = 87,205.50 × 87,205.50
  4. Step 4: Simplify right side
    58,137x = 7,604,799,230.25
  5. Step 5: Solve for x
    x = 7,604,799,230.25/58,137
  6. Step 6: Final answer
    x = 130,808.25

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Why These Related Problems?

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