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Finding the Third Proportional to 53,706 and 78,915

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Solution

The third proportional to 53,706 and 78,915 is: 115,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,706 : 78,915 = 78,915 : x
  2. Step 2: Convert to fraction form
    53,706/78,915 = 78,915/x
  3. Step 3: Cross multiply
    53,706x = 78,915 × 78,915
  4. Step 4: Simplify right side
    53,706x = 6,227,577,225
  5. Step 5: Solve for x
    x = 6,227,577,225/53,706
  6. Step 6: Final answer
    x = 115,956.82

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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.