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Finding the Third Proportional to 58,401 and 93,676.50

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Solution

The third proportional to 58,401 and 93,676.50 is: 150,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,401 : 93,676.50 = 93,676.50 : x
  2. Step 2: Convert to fraction form
    58,401/93,676.50 = 93,676.50/x
  3. Step 3: Cross multiply
    58,401x = 93,676.50 × 93,676.50
  4. Step 4: Simplify right side
    58,401x = 8,775,286,652.25
  5. Step 5: Solve for x
    x = 8,775,286,652.25/58,401
  6. Step 6: Final answer
    x = 150,259.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.