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Finding the Third Proportional to 53,168 and 72,239

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Solution

The third proportional to 53,168 and 72,239 is: 98,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,168 : 72,239 = 72,239 : x
  2. Step 2: Convert to fraction form
    53,168/72,239 = 72,239/x
  3. Step 3: Cross multiply
    53,168x = 72,239 × 72,239
  4. Step 4: Simplify right side
    53,168x = 5,218,473,121
  5. Step 5: Solve for x
    x = 5,218,473,121/53,168
  6. Step 6: Final answer
    x = 98,150.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.