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Finding the Third Proportional to 58,456 and 126,252.50

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Solution

The third proportional to 58,456 and 126,252.50 is: 272,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,456 : 126,252.50 = 126,252.50 : x
  2. Step 2: Convert to fraction form
    58,456/126,252.50 = 126,252.50/x
  3. Step 3: Cross multiply
    58,456x = 126,252.50 × 126,252.50
  4. Step 4: Simplify right side
    58,456x = 15,939,693,756.25
  5. Step 5: Solve for x
    x = 15,939,693,756.25/58,456
  6. Step 6: Final answer
    x = 272,678.49

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