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Finding the Third Proportional to 52,160 and 110,080

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Solution

The third proportional to 52,160 and 110,080 is: 232,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160 : 110,080 = 110,080 : x
  2. Step 2: Convert to fraction form
    52,160/110,080 = 110,080/x
  3. Step 3: Cross multiply
    52,160x = 110,080 × 110,080
  4. Step 4: Simplify right side
    52,160x = 12,117,606,400
  5. Step 5: Solve for x
    x = 12,117,606,400/52,160
  6. Step 6: Final answer
    x = 232,316.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.