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Finding the Third Proportional to 52,598 and 115,396

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Solution

The third proportional to 52,598 and 115,396 is: 253,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,598 : 115,396 = 115,396 : x
  2. Step 2: Convert to fraction form
    52,598/115,396 = 115,396/x
  3. Step 3: Cross multiply
    52,598x = 115,396 × 115,396
  4. Step 4: Simplify right side
    52,598x = 13,316,236,816
  5. Step 5: Solve for x
    x = 13,316,236,816/52,598
  6. Step 6: Final answer
    x = 253,170.02

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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.