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Finding the Third Proportional to 74,859.19 and 153,210.94

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Solution

The third proportional to 74,859.19 and 153,210.94 is: 313,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,859.19 : 153,210.94 = 153,210.94 : x
  2. Step 2: Convert to fraction form
    74,859.19/153,210.94 = 153,210.94/x
  3. Step 3: Cross multiply
    74,859.19x = 153,210.94 × 153,210.94
  4. Step 4: Simplify right side
    74,859.19x = 23,473,591,369.63
  5. Step 5: Solve for x
    x = 23,473,591,369.63/74,859.19
  6. Step 6: Final answer
    x = 313,569.95

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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.