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Finding the Third Proportional to 52,310 and 115,178

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Solution

The third proportional to 52,310 and 115,178 is: 253,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,310 : 115,178 = 115,178 : x
  2. Step 2: Convert to fraction form
    52,310/115,178 = 115,178/x
  3. Step 3: Cross multiply
    52,310x = 115,178 × 115,178
  4. Step 4: Simplify right side
    52,310x = 13,265,971,684
  5. Step 5: Solve for x
    x = 13,265,971,684/52,310
  6. Step 6: Final answer
    x = 253,602.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.