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Finding the Third Proportional to 84,124 and 112,740

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Solution

The third proportional to 84,124 and 112,740 is: 151,090.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,124 : 112,740 = 112,740 : x
  2. Step 2: Convert to fraction form
    84,124/112,740 = 112,740/x
  3. Step 3: Cross multiply
    84,124x = 112,740 × 112,740
  4. Step 4: Simplify right side
    84,124x = 12,710,307,600
  5. Step 5: Solve for x
    x = 12,710,307,600/84,124
  6. Step 6: Final answer
    x = 151,090.15

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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.