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Finding the Third Proportional to 55,482.47 and 121,345.59

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Solution

The third proportional to 55,482.47 and 121,345.59 is: 265,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,482.47 : 121,345.59 = 121,345.59 : x
  2. Step 2: Convert to fraction form
    55,482.47/121,345.59 = 121,345.59/x
  3. Step 3: Cross multiply
    55,482.47x = 121,345.59 × 121,345.59
  4. Step 4: Simplify right side
    55,482.47x = 14,724,753,122.54
  5. Step 5: Solve for x
    x = 14,724,753,122.54/55,482.47
  6. Step 6: Final answer
    x = 265,394.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.