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Finding the Third Proportional to 72,432.56 and 115,254.84

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Solution

The third proportional to 72,432.56 and 115,254.84 is: 183,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,432.56 : 115,254.84 = 115,254.84 : x
  2. Step 2: Convert to fraction form
    72,432.56/115,254.84 = 115,254.84/x
  3. Step 3: Cross multiply
    72,432.56x = 115,254.84 × 115,254.84
  4. Step 4: Simplify right side
    72,432.56x = 13,283,679,007.84
  5. Step 5: Solve for x
    x = 13,283,679,007.84/72,432.56
  6. Step 6: Final answer
    x = 183,393.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.