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Finding the Third Proportional to 42,980 and 93,328

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Solution

The third proportional to 42,980 and 93,328 is: 202,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,980 : 93,328 = 93,328 : x
  2. Step 2: Convert to fraction form
    42,980/93,328 = 93,328/x
  3. Step 3: Cross multiply
    42,980x = 93,328 × 93,328
  4. Step 4: Simplify right side
    42,980x = 8,710,115,584
  5. Step 5: Solve for x
    x = 8,710,115,584/42,980
  6. Step 6: Final answer
    x = 202,655.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.