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Finding the Third Proportional to 58,778 and 129,220

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Solution

The third proportional to 58,778 and 129,220 is: 284,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,778 : 129,220 = 129,220 : x
  2. Step 2: Convert to fraction form
    58,778/129,220 = 129,220/x
  3. Step 3: Cross multiply
    58,778x = 129,220 × 129,220
  4. Step 4: Simplify right side
    58,778x = 16,697,808,400
  5. Step 5: Solve for x
    x = 16,697,808,400/58,778
  6. Step 6: Final answer
    x = 284,082.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.