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Finding the Third Proportional to 53,895 and 125,848.50

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Solution

The third proportional to 53,895 and 125,848.50 is: 293,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,895 : 125,848.50 = 125,848.50 : x
  2. Step 2: Convert to fraction form
    53,895/125,848.50 = 125,848.50/x
  3. Step 3: Cross multiply
    53,895x = 125,848.50 × 125,848.50
  4. Step 4: Simplify right side
    53,895x = 15,837,844,952.25
  5. Step 5: Solve for x
    x = 15,837,844,952.25/53,895
  6. Step 6: Final answer
    x = 293,864.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.