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Finding the Third Proportional to 53,370 and 116,136

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Solution

The third proportional to 53,370 and 116,136 is: 252,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,370 : 116,136 = 116,136 : x
  2. Step 2: Convert to fraction form
    53,370/116,136 = 116,136/x
  3. Step 3: Cross multiply
    53,370x = 116,136 × 116,136
  4. Step 4: Simplify right side
    53,370x = 13,487,570,496
  5. Step 5: Solve for x
    x = 13,487,570,496/53,370
  6. Step 6: Final answer
    x = 252,718.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.