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Finding the Third Proportional to 54,543.38 and 84,407.06

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Solution

The third proportional to 54,543.38 and 84,407.06 is: 130,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,543.38 : 84,407.06 = 84,407.06 : x
  2. Step 2: Convert to fraction form
    54,543.38/84,407.06 = 84,407.06/x
  3. Step 3: Cross multiply
    54,543.38x = 84,407.06 × 84,407.06
  4. Step 4: Simplify right side
    54,543.38x = 7,124,552,199.88
  5. Step 5: Solve for x
    x = 7,124,552,199.88/54,543.38
  6. Step 6: Final answer
    x = 130,621.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.