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Finding the Third Proportional to 52,640 and 72,368

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Solution

The third proportional to 52,640 and 72,368 is: 99,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,640 : 72,368 = 72,368 : x
  2. Step 2: Convert to fraction form
    52,640/72,368 = 72,368/x
  3. Step 3: Cross multiply
    52,640x = 72,368 × 72,368
  4. Step 4: Simplify right side
    52,640x = 5,237,127,424
  5. Step 5: Solve for x
    x = 5,237,127,424/52,640
  6. Step 6: Final answer
    x = 99,489.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.