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Finding the Third Proportional to 62,307 and 134,118

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Solution

The third proportional to 62,307 and 134,118 is: 288,693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,307 : 134,118 = 134,118 : x
  2. Step 2: Convert to fraction form
    62,307/134,118 = 134,118/x
  3. Step 3: Cross multiply
    62,307x = 134,118 × 134,118
  4. Step 4: Simplify right side
    62,307x = 17,987,637,924
  5. Step 5: Solve for x
    x = 17,987,637,924/62,307
  6. Step 6: Final answer
    x = 288,693.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.