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Finding the Third Proportional to 85,024.69 and 127,092.80

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Solution

The third proportional to 85,024.69 and 127,092.80 is: 189,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,024.69 : 127,092.80 = 127,092.80 : x
  2. Step 2: Convert to fraction form
    85,024.69/127,092.80 = 127,092.80/x
  3. Step 3: Cross multiply
    85,024.69x = 127,092.80 × 127,092.80
  4. Step 4: Simplify right side
    85,024.69x = 16,152,579,017.51
  5. Step 5: Solve for x
    x = 16,152,579,017.51/85,024.69
  6. Step 6: Final answer
    x = 189,975.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.