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Finding the Third Proportional to 84,520 and 125,468

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Solution

The third proportional to 84,520 and 125,468 is: 186,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,520 : 125,468 = 125,468 : x
  2. Step 2: Convert to fraction form
    84,520/125,468 = 125,468/x
  3. Step 3: Cross multiply
    84,520x = 125,468 × 125,468
  4. Step 4: Simplify right side
    84,520x = 15,742,219,024
  5. Step 5: Solve for x
    x = 15,742,219,024/84,520
  6. Step 6: Final answer
    x = 186,254.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.