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Finding the Third Proportional to 57,824 and 86,752

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Solution

The third proportional to 57,824 and 86,752 is: 130,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,824 : 86,752 = 86,752 : x
  2. Step 2: Convert to fraction form
    57,824/86,752 = 86,752/x
  3. Step 3: Cross multiply
    57,824x = 86,752 × 86,752
  4. Step 4: Simplify right side
    57,824x = 7,525,909,504
  5. Step 5: Solve for x
    x = 7,525,909,504/57,824
  6. Step 6: Final answer
    x = 130,152.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.