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Finding the Third Proportional to 75,041.81 and 163,934.63

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Solution

The third proportional to 75,041.81 and 163,934.63 is: 358,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,041.81 : 163,934.63 = 163,934.63 : x
  2. Step 2: Convert to fraction form
    75,041.81/163,934.63 = 163,934.63/x
  3. Step 3: Cross multiply
    75,041.81x = 163,934.63 × 163,934.63
  4. Step 4: Simplify right side
    75,041.81x = 26,874,561,273.89
  5. Step 5: Solve for x
    x = 26,874,561,273.89/75,041.81
  6. Step 6: Final answer
    x = 358,127.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.