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Finding the Third Proportional to 53,625.38 and 78,888.94

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Solution

The third proportional to 53,625.38 and 78,888.94 is: 116,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,625.38 : 78,888.94 = 78,888.94 : x
  2. Step 2: Convert to fraction form
    53,625.38/78,888.94 = 78,888.94/x
  3. Step 3: Cross multiply
    53,625.38x = 78,888.94 × 78,888.94
  4. Step 4: Simplify right side
    53,625.38x = 6,223,464,459.88
  5. Step 5: Solve for x
    x = 6,223,464,459.88/53,625.38
  6. Step 6: Final answer
    x = 116,054.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.