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Finding the Third Proportional to 100,040.63 and 152,601.47

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Solution

The third proportional to 100,040.63 and 152,601.47 is: 232,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,040.63 : 152,601.47 = 152,601.47 : x
  2. Step 2: Convert to fraction form
    100,040.63/152,601.47 = 152,601.47/x
  3. Step 3: Cross multiply
    100,040.63x = 152,601.47 × 152,601.47
  4. Step 4: Simplify right side
    100,040.63x = 23,287,208,264.66
  5. Step 5: Solve for x
    x = 23,287,208,264.66/100,040.63
  6. Step 6: Final answer
    x = 232,777.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.