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Finding the Third Proportional to 58,360 and 128,068

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Solution

The third proportional to 58,360 and 128,068 is: 281,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,360 : 128,068 = 128,068 : x
  2. Step 2: Convert to fraction form
    58,360/128,068 = 128,068/x
  3. Step 3: Cross multiply
    58,360x = 128,068 × 128,068
  4. Step 4: Simplify right side
    58,360x = 16,401,412,624
  5. Step 5: Solve for x
    x = 16,401,412,624/58,360
  6. Step 6: Final answer
    x = 281,038.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.