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Finding the Third Proportional to 86,152.50 and 125,887

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Solution

The third proportional to 86,152.50 and 125,887 is: 183,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,152.50 : 125,887 = 125,887 : x
  2. Step 2: Convert to fraction form
    86,152.50/125,887 = 125,887/x
  3. Step 3: Cross multiply
    86,152.50x = 125,887 × 125,887
  4. Step 4: Simplify right side
    86,152.50x = 15,847,536,769
  5. Step 5: Solve for x
    x = 15,847,536,769/86,152.50
  6. Step 6: Final answer
    x = 183,947.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.