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Finding the Third Proportional to 75,929.91 and 155,341.55

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Solution

The third proportional to 75,929.91 and 155,341.55 is: 317,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,929.91 : 155,341.55 = 155,341.55 : x
  2. Step 2: Convert to fraction form
    75,929.91/155,341.55 = 155,341.55/x
  3. Step 3: Cross multiply
    75,929.91x = 155,341.55 × 155,341.55
  4. Step 4: Simplify right side
    75,929.91x = 24,130,996,185.52
  5. Step 5: Solve for x
    x = 24,130,996,185.52/75,929.91
  6. Step 6: Final answer
    x = 317,806.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.