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Finding the Third Proportional to 99,403.88 and 153,576

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Solution

The third proportional to 99,403.88 and 153,576 is: 237,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,403.88 : 153,576 = 153,576 : x
  2. Step 2: Convert to fraction form
    99,403.88/153,576 = 153,576/x
  3. Step 3: Cross multiply
    99,403.88x = 153,576 × 153,576
  4. Step 4: Simplify right side
    99,403.88x = 23,585,587,776
  5. Step 5: Solve for x
    x = 23,585,587,776/99,403.88
  6. Step 6: Final answer
    x = 237,270.31

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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.