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Finding the Third Proportional to 54,345.75 and 83,543.63

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Solution

The third proportional to 54,345.75 and 83,543.63 is: 128,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,345.75 : 83,543.63 = 83,543.63 : x
  2. Step 2: Convert to fraction form
    54,345.75/83,543.63 = 83,543.63/x
  3. Step 3: Cross multiply
    54,345.75x = 83,543.63 × 83,543.63
  4. Step 4: Simplify right side
    54,345.75x = 6,979,537,278.14
  5. Step 5: Solve for x
    x = 6,979,537,278.14/54,345.75
  6. Step 6: Final answer
    x = 128,428.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.