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Finding the Third Proportional to 53,702.25 and 78,908.63

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Solution

The third proportional to 53,702.25 and 78,908.63 is: 115,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,702.25 : 78,908.63 = 78,908.63 : x
  2. Step 2: Convert to fraction form
    53,702.25/78,908.63 = 78,908.63/x
  3. Step 3: Cross multiply
    53,702.25x = 78,908.63 × 78,908.63
  4. Step 4: Simplify right side
    53,702.25x = 6,226,571,099.39
  5. Step 5: Solve for x
    x = 6,226,571,099.39/53,702.25
  6. Step 6: Final answer
    x = 115,946.19

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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.