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Finding the Third Proportional to 49,101.19 and 75,078.14

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Solution

The third proportional to 49,101.19 and 75,078.14 is: 114,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,101.19 : 75,078.14 = 75,078.14 : x
  2. Step 2: Convert to fraction form
    49,101.19/75,078.14 = 75,078.14/x
  3. Step 3: Cross multiply
    49,101.19x = 75,078.14 × 75,078.14
  4. Step 4: Simplify right side
    49,101.19x = 5,636,727,199.71
  5. Step 5: Solve for x
    x = 5,636,727,199.71/49,101.19
  6. Step 6: Final answer
    x = 114,798.18

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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.