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Finding the Third Proportional to 84,911.63 and 125,420.06

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Solution

The third proportional to 84,911.63 and 125,420.06 is: 185,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,911.63 : 125,420.06 = 125,420.06 : x
  2. Step 2: Convert to fraction form
    84,911.63/125,420.06 = 125,420.06/x
  3. Step 3: Cross multiply
    84,911.63x = 125,420.06 × 125,420.06
  4. Step 4: Simplify right side
    84,911.63x = 15,730,192,077.50
  5. Step 5: Solve for x
    x = 15,730,192,077.50/84,911.63
  6. Step 6: Final answer
    x = 185,253.69

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