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Finding the Third Proportional to 58,446 and 128,013

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Solution

The third proportional to 58,446 and 128,013 is: 280,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,446 : 128,013 = 128,013 : x
  2. Step 2: Convert to fraction form
    58,446/128,013 = 128,013/x
  3. Step 3: Cross multiply
    58,446x = 128,013 × 128,013
  4. Step 4: Simplify right side
    58,446x = 16,387,328,169
  5. Step 5: Solve for x
    x = 16,387,328,169/58,446
  6. Step 6: Final answer
    x = 280,384.08

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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.