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Finding the Third Proportional to 101,712 and 236,236

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Solution

The third proportional to 101,712 and 236,236 is: 548,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,712 : 236,236 = 236,236 : x
  2. Step 2: Convert to fraction form
    101,712/236,236 = 236,236/x
  3. Step 3: Cross multiply
    101,712x = 236,236 × 236,236
  4. Step 4: Simplify right side
    101,712x = 55,807,447,696
  5. Step 5: Solve for x
    x = 55,807,447,696/101,712
  6. Step 6: Final answer
    x = 548,681.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.