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Finding the Third Proportional to 65,392.31 and 100,548.84

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Solution

The third proportional to 65,392.31 and 100,548.84 is: 154,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,392.31 : 100,548.84 = 100,548.84 : x
  2. Step 2: Convert to fraction form
    65,392.31/100,548.84 = 100,548.84/x
  3. Step 3: Cross multiply
    65,392.31x = 100,548.84 × 100,548.84
  4. Step 4: Simplify right side
    65,392.31x = 10,110,069,979.46
  5. Step 5: Solve for x
    x = 10,110,069,979.46/65,392.31
  6. Step 6: Final answer
    x = 154,606.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.