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Finding the Third Proportional to 99,564.75 and 157,732.88

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Solution

The third proportional to 99,564.75 and 157,732.88 is: 249,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,564.75 : 157,732.88 = 157,732.88 : x
  2. Step 2: Convert to fraction form
    99,564.75/157,732.88 = 157,732.88/x
  3. Step 3: Cross multiply
    99,564.75x = 157,732.88 × 157,732.88
  4. Step 4: Simplify right side
    99,564.75x = 24,879,659,855.77
  5. Step 5: Solve for x
    x = 24,879,659,855.77/99,564.75
  6. Step 6: Final answer
    x = 249,884.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.