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Finding the Third Proportional to 53,292 and 116,604

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Solution

The third proportional to 53,292 and 116,604 is: 255,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,292 : 116,604 = 116,604 : x
  2. Step 2: Convert to fraction form
    53,292/116,604 = 116,604/x
  3. Step 3: Cross multiply
    53,292x = 116,604 × 116,604
  4. Step 4: Simplify right side
    53,292x = 13,596,492,816
  5. Step 5: Solve for x
    x = 13,596,492,816/53,292
  6. Step 6: Final answer
    x = 255,131.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.