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Finding the Third Proportional to 62,160 and 130,080

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Solution

The third proportional to 62,160 and 130,080 is: 272,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,160 : 130,080 = 130,080 : x
  2. Step 2: Convert to fraction form
    62,160/130,080 = 130,080/x
  3. Step 3: Cross multiply
    62,160x = 130,080 × 130,080
  4. Step 4: Simplify right side
    62,160x = 16,920,806,400
  5. Step 5: Solve for x
    x = 16,920,806,400/62,160
  6. Step 6: Final answer
    x = 272,213.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.