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Finding the Third Proportional to 59,824 and 93,852

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Solution

The third proportional to 59,824 and 93,852 is: 147,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,824 : 93,852 = 93,852 : x
  2. Step 2: Convert to fraction form
    59,824/93,852 = 93,852/x
  3. Step 3: Cross multiply
    59,824x = 93,852 × 93,852
  4. Step 4: Simplify right side
    59,824x = 8,808,197,904
  5. Step 5: Solve for x
    x = 8,808,197,904/59,824
  6. Step 6: Final answer
    x = 147,235.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.