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Finding the Third Proportional to 58,650 and 141,765

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Solution

The third proportional to 58,650 and 141,765 is: 342,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,650 : 141,765 = 141,765 : x
  2. Step 2: Convert to fraction form
    58,650/141,765 = 141,765/x
  3. Step 3: Cross multiply
    58,650x = 141,765 × 141,765
  4. Step 4: Simplify right side
    58,650x = 20,097,315,225
  5. Step 5: Solve for x
    x = 20,097,315,225/58,650
  6. Step 6: Final answer
    x = 342,665.22

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.