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Finding the Third Proportional to 85,824 and 187,776

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Solution

The third proportional to 85,824 and 187,776 is: 410,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,824 : 187,776 = 187,776 : x
  2. Step 2: Convert to fraction form
    85,824/187,776 = 187,776/x
  3. Step 3: Cross multiply
    85,824x = 187,776 × 187,776
  4. Step 4: Simplify right side
    85,824x = 35,259,826,176
  5. Step 5: Solve for x
    x = 35,259,826,176/85,824
  6. Step 6: Final answer
    x = 410,838.77

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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.