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Finding the Third Proportional to 58,343 and 119,149.50

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Solution

The third proportional to 58,343 and 119,149.50 is: 243,330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,343 : 119,149.50 = 119,149.50 : x
  2. Step 2: Convert to fraction form
    58,343/119,149.50 = 119,149.50/x
  3. Step 3: Cross multiply
    58,343x = 119,149.50 × 119,149.50
  4. Step 4: Simplify right side
    58,343x = 14,196,603,350.25
  5. Step 5: Solve for x
    x = 14,196,603,350.25/58,343
  6. Step 6: Final answer
    x = 243,330.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.