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Finding the Third Proportional to 45,513 and 93,213

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Solution

The third proportional to 45,513 and 93,213 is: 190,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,513 : 93,213 = 93,213 : x
  2. Step 2: Convert to fraction form
    45,513/93,213 = 93,213/x
  3. Step 3: Cross multiply
    45,513x = 93,213 × 93,213
  4. Step 4: Simplify right side
    45,513x = 8,688,663,369
  5. Step 5: Solve for x
    x = 8,688,663,369/45,513
  6. Step 6: Final answer
    x = 190,905.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.