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Finding the Third Proportional to 92,269.13 and 144,554.63

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Solution

The third proportional to 92,269.13 and 144,554.63 is: 226,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,269.13 : 144,554.63 = 144,554.63 : x
  2. Step 2: Convert to fraction form
    92,269.13/144,554.63 = 144,554.63/x
  3. Step 3: Cross multiply
    92,269.13x = 144,554.63 × 144,554.63
  4. Step 4: Simplify right side
    92,269.13x = 20,896,039,608.89
  5. Step 5: Solve for x
    x = 20,896,039,608.89/92,269.13
  6. Step 6: Final answer
    x = 226,468.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.