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Finding the Third Proportional to 58,356 and 128,060

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Solution

The third proportional to 58,356 and 128,060 is: 281,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,356 : 128,060 = 128,060 : x
  2. Step 2: Convert to fraction form
    58,356/128,060 = 128,060/x
  3. Step 3: Cross multiply
    58,356x = 128,060 × 128,060
  4. Step 4: Simplify right side
    58,356x = 16,399,363,600
  5. Step 5: Solve for x
    x = 16,399,363,600/58,356
  6. Step 6: Final answer
    x = 281,022.75

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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.