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Finding the Third Proportional to 86,152.13 and 125,886.56

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Solution

The third proportional to 86,152.13 and 125,886.56 is: 183,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,152.13 : 125,886.56 = 125,886.56 : x
  2. Step 2: Convert to fraction form
    86,152.13/125,886.56 = 125,886.56/x
  3. Step 3: Cross multiply
    86,152.13x = 125,886.56 × 125,886.56
  4. Step 4: Simplify right side
    86,152.13x = 15,847,426,618.07
  5. Step 5: Solve for x
    x = 15,847,426,618.07/86,152.13
  6. Step 6: Final answer
    x = 183,947.02

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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.