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Finding the Third Proportional to 84,126 and 112,743

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Solution

The third proportional to 84,126 and 112,743 is: 151,094.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,126 : 112,743 = 112,743 : x
  2. Step 2: Convert to fraction form
    84,126/112,743 = 112,743/x
  3. Step 3: Cross multiply
    84,126x = 112,743 × 112,743
  4. Step 4: Simplify right side
    84,126x = 12,710,984,049
  5. Step 5: Solve for x
    x = 12,710,984,049/84,126
  6. Step 6: Final answer
    x = 151,094.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.