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Finding the Third Proportional to 112,928 and 243,712

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Solution

The third proportional to 112,928 and 243,712 is: 525,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,928 : 243,712 = 243,712 : x
  2. Step 2: Convert to fraction form
    112,928/243,712 = 243,712/x
  3. Step 3: Cross multiply
    112,928x = 243,712 × 243,712
  4. Step 4: Simplify right side
    112,928x = 59,395,538,944
  5. Step 5: Solve for x
    x = 59,395,538,944/112,928
  6. Step 6: Final answer
    x = 525,959.36

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Why These Related Problems?

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