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Finding the Third Proportional to 56,095.31 and 121,109.63

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Solution

The third proportional to 56,095.31 and 121,109.63 is: 261,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,095.31 : 121,109.63 = 121,109.63 : x
  2. Step 2: Convert to fraction form
    56,095.31/121,109.63 = 121,109.63/x
  3. Step 3: Cross multiply
    56,095.31x = 121,109.63 × 121,109.63
  4. Step 4: Simplify right side
    56,095.31x = 14,667,541,267.64
  5. Step 5: Solve for x
    x = 14,667,541,267.64/56,095.31
  6. Step 6: Final answer
    x = 261,475.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.