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Finding the Third Proportional to 58,476.50 and 126,307

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Solution

The third proportional to 58,476.50 and 126,307 is: 272,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,476.50 : 126,307 = 126,307 : x
  2. Step 2: Convert to fraction form
    58,476.50/126,307 = 126,307/x
  3. Step 3: Cross multiply
    58,476.50x = 126,307 × 126,307
  4. Step 4: Simplify right side
    58,476.50x = 15,953,458,249
  5. Step 5: Solve for x
    x = 15,953,458,249/58,476.50
  6. Step 6: Final answer
    x = 272,818.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.