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Finding the Third Proportional to 61,824 and 93,024

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Solution

The third proportional to 61,824 and 93,024 is: 139,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,824 : 93,024 = 93,024 : x
  2. Step 2: Convert to fraction form
    61,824/93,024 = 93,024/x
  3. Step 3: Cross multiply
    61,824x = 93,024 × 93,024
  4. Step 4: Simplify right side
    61,824x = 8,653,464,576
  5. Step 5: Solve for x
    x = 8,653,464,576/61,824
  6. Step 6: Final answer
    x = 139,969.34

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Why These Related Problems?

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