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Finding the Third Proportional to 71,841 and 153,453

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Solution

The third proportional to 71,841 and 153,453 is: 327,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,841 : 153,453 = 153,453 : x
  2. Step 2: Convert to fraction form
    71,841/153,453 = 153,453/x
  3. Step 3: Cross multiply
    71,841x = 153,453 × 153,453
  4. Step 4: Simplify right side
    71,841x = 23,547,823,209
  5. Step 5: Solve for x
    x = 23,547,823,209/71,841
  6. Step 6: Final answer
    x = 327,776.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.